2,000,000,000/(365.25*24*60*60)=63.37 years
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Assuming you could average a number per second (not easy if you enumerate some of the larger numbers fully) one billion seconds is 16,666,666 minutes and 40 seconds. It's a little over 31 and 1/2 years, if you never sleep.
2 centuries is 200 years. 200x365.25x24x60x60 is 6,311,520,000 seconds.
2 billion seconds
If the months are 31 days long, then there are 3,694,7200 seconds
16,666,666and 2/3