Okay. I have not allegiance to those population numbers, it's just that I don't have any others.
What and where are your population numbers?
If you accept Woolsey's estimate of Ur at 60 to 80 thousand at its peak then you add all of the other city states in Sumeraria, Syria, Egypt, China, Palistine, Asia Minor, and India. Then you add in North and South America, Europe, Africa, Central Asia, South Asia and Australia, I think the numbers would supprise even me.
One of the problems that a person faces when doing population estimates is that it is not what was is known but what is yet to be discovered.