That looks correct to me, to the given number of significant figures. Did you expect to get all 301 digits? I don't think Google Search provides that kind of precision ;p
However, you could easily compute this yourself...
>>> 2**1000
1071508607186267320948425049060001810561404811705533607443750
3883703510511249361224931983788156958581275946729175531468251
8714528569231404359845775746985748039345677748242309854210746
0506237114187795418215304647498358194126739876755916554394607
7062914571196477686542167660429831652624386837205668069376L