"Is the Israelite population described in the Book of Numbers reliable or reasonable?"

"Is the Israelite population described in the Book of Numbers reliable or reasonable?"
Numbers 1:45-46 So all those listed of the people of Israel, by their fathers' houses, from twenty years old and upward, every man able to go to war in Israel — all those listed were 603,550.

It can certainly be questioned if the Exodus ever happened at all, but assuming it did, are the population numbers described in the Book of Numbers reasonable? What kind of impact would a population of nearly 2 million Israelites have on the region? Are there any translation complications that might explain the seemingly high numbers? When were these bible stories written and could the time between the event and its transcription account for any inflated or exaggerated values?

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