It sounds like pedantry, but it's important: history can't be recorded if there isn't any recording being done. Again, current evidence has the long count preceeding written language in Mesoamerica. That time frame only works for the mesopotamian and nile river civilizations.
While we’re at it, the (positional) Mesopotamian sexagesimal system evolved around 2000 BC, and had a placeholder “zero” symbol for empty places sometime before 0 AD.