Moses (Moshe), was no ordinary man says the scriptures. His father was Amram, a Levite. His mother was Jochebed who was also a Levite, since Jochebed was actually Amram's aunt (this was before the Law was given). He was the great-grandson of Levi. When the Pharaoh handed out the law that all male Hebrew newborns should be killed, Jochebed hid Moses for three months. When it became apparent she could not hide him anymore she put him in a basket and pushed him down the Nile. Amazingly, the Pharaoh's daughter (let's call her Sitamun) just happened to be there when Moses went floating by. Moses' sister, Miriam, watched on the side of the Nile to make sure he was okay. Miriam talked Sitamun into letting a "Hebrew woman" nurse him for her. Oddly enough who does Miriam go get? His own mother! Not only that Jochebed was paid by Sitamun for taking care of him. Moses was not only supposed to have been killed, but ended up in his own house anyway and his family was compensated for it. Truly, not ordinary.
Moses was not the name that Jochebed gave to her son. His real name is unknown. "Moses" was the name that Sitamun gave him. By the way, why are we calling her Sitamun? Well, if the Exodus was 1488 BC, then the Pharaoh at the time of Moses being born would have been Ahmose I. Ahmose had three daughters and only one of them was not married, which probably meant that she would bear no children, thereby making her more than likely wanting one. God gave her one in this way. Pure speculation. Either way, look at the name 'Moses'. Sounds a lot like her father's name Ahmose. Ahmose means "the moon is born" or "the moon's child". Moses in Hebrew is Moshe which means savior but is also very close to the Hebrew word, mashah; "to draw water" (Exodus 2:10), but it's closest equivalent in old Egyptian is 'mes' which means "son". Sitamun probably named him this to fit both languages. Again, no ordinary man.
Somehow, Moses knew of his heritage. When he saw an Egyptian beating a Hebrew he defended the Hebrew and killed the Egyptian. The very next day someone was threatening to turn him in for his actions and the new Pharaoh (Amenhotep I) found out. So, he left his home and fled to Midian where he met his future wife, Zipporah. Where did he meet her? She was at a well...drawing water; mashah! No ordinary man!
And his non-ordinary life had still the most non-ordinary experience yet to come.