If you file at age 62 and getting $2000 per month your accumulative amount is indeed $480,000.
If you wait five years to 67, you actually would be getting closer to $2700 per month for 15 years which would be $486,000.
And keep in mind that the 2000 a month will also be getting some increases during that 5 years. Especially if you are still working paying in and earning credits.
“If you wait five years to 67, you actually would be getting closer to $2700 per month for 15 years which would be $486,000.”
Basically there is little difference if you live to 80. If you live past 80 it is better to wait. If you die earlier its worse.