* Euro hits 2-week low against dollar and yen

* Europe shares, oil prices stumble, denting risk demand

* N.Y. factory activity surges; consumer worries persist

* Japan 2nd quarter GDP up; China cuts Treasury holdings

The euro hit a two-week low against the dollar and neared a one-month trough against the yen on Monday as world stock markets fell and doubts about a U.S. recovery prompted investors to cut exposure to risk.

The yen rallied across the board as investors bought it as a safe haven while a slide in oil prices hit currencies such as the Australian dollar, which retreated from recent 10-month highs against the greenback.

A multi-month equity rally started to sputter late last week after data showed U.S. consumer sentiment declined for a second straight month. Hong Kong stocks .HSI responded Monday by falling more than 3 percent and Wall Street shares .SPX also fell.

Data showing Japan's economy grew between April and June for the first time in five quarters was largely ignored, and a surge in New York state factory activity had only a modest effect.

People have started to feel that the market rally moved well ahead of the actual economic improvement, said Vassili Serebriakov, currency strategist at Wells Fargo in New York.

Added Rob Minikin, senior currency strategist at Standard Chartered in London, The rebound in the S&P has been its fastest in the post-war (period), and so people are getting nervous that things have come too far, too fast.

The euro was last down about 0.9 percent at $1.4077 EUR=, just above a two-week low. It was down 1.2 percent at 132.80 yen EURJPY= after hitting its lowest level since July 22. The dollar fell 0.6 percent to 94.35 yen JPY=.

Sterling hit a one-month low and was last down 1.4 percent at $1.6301 GBP= while the Australian AUD= and New Zealand dollars NZD= each fell sharply against the greenback.

European shares .FTEU3 fell around 2 percent on the day, while oil prices CLc1 tumbled to a two-week low.

Some analysts also said coupon payments on U.S. Treasuries worth $20 billion to $25 billion on Monday were helping to push the dollar down against the yen.

JAPAN GROWS, CHINA SHEDS SOME DOLLARS

Data showing Japan's economy pulled out of recession in the April-June period did little to improve sentiment, and analysts said yen strength had more to do with safe-haven purchases by investors eager to dump stocks and higher-yield currencies.

While Japanese government stimulus spending helped the economy expand 0.9 percent in the quarter, ending its longest recession in decades, analysts said the road to sustainable recovery would be a long one. For more see.

U.S. government data showed China cut Treasury holdings in June by the biggest percentage in nearly nine years, though net inflows into long-term U.S. securities rose to $90.7 billion.

China, the biggest U.S. Treasury holder, sold mostly short-term bills in June. If it continues, that could be a significant drag on the dollar, said Alan Ruskin, chief international strategist at RBS Securities in Greenwich, Connecticut.

But it is clear that some of this money will simply stay in dollars and extend out the curve at the right yield.

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