I start with the assumption that since no miracle is mentioned regarding the Egyptians, they reproduced naturally, having on average 4-5 kids.
If we assume that Mitzrayim, the son of Ham, was the founder of Biblical Egypt, there were only 8 generations from him to Abraham and 11 to Josef at the time of going down to Egypt. So how well-populated could Egypt be at that time?
Mitzrayim's sons are mentioned in Genesis as separate peoples (incl. Philistines). Who were the Egyptians of Egypt that the Torah speaks of?
Please provide sources.