This occured 2,000 yrs after the flood.
Not according to the Bibles I can find.
Genesis 11:10These are the generations of Shem: Shem was an hundred years old, and begat Arphaxad two years after the flood:
11And Shem lived after he begat Arphaxad five hundred years, and begat sons and daughters.
12And Arphaxad lived five and thirty years, and begat Salah:
13And Arphaxad lived after he begat Salah four hundred and three years, and begat sons and daughters.
14And Salah lived thirty years, and begat Eber:
15And Salah lived after he begat Eber four hundred and three years, and begat sons and daughters.
16And Eber lived four and thirty years, and begat Peleg:
17And Eber lived after he begat Peleg four hundred and thirty years, and begat sons and daughters.
18And Peleg lived thirty years, and begat Reu:
19And Peleg lived after he begat Reu two hundred and nine years, and begat sons and daughters.
Four generations. 340 years maximum. 2+35+30+34+239.
How many Mayans were there, again? And how many inhabitants of the Americas?