The siege was epic,no doubt. One of the most epic sieges in history. But how Sultan Mehmed II conquered Constantinople wasn't "absolutely amazing",considering that he had a huge army of more than 80,000 men (some sources say 150,000 or 300,000)against a force of 8,000 at most,that had to defend the largest city in the world at the time.
He also had big cannons,which were a new weapon back then. He also had thousands of slaves and servants at his disposal.
I will keep Mehmed's quote here though:
"What a city we have given over to plunder and destruction."