Minimum unfinished basement door height
The Code requires a minimum ceiling height of 7’-0” for habitable spaces, unless 1) it’s a slopped ceiling, 2) basement remodel, 3) bathroom or shower. (See ICC R304.1)

Slopped ceilings shall have at least 50% with at least 7’ and slope down to no more than 5’.

Basements can have 6’-8” ceilings in non-habitable spaces.

Not more than 75% of a sloped ceiling in a bathroom can be less than 7’ if a space in front of toilet, sink, shower is 6’-4” high.


Summary:
Your 6’-2” ceiling height is not acceptable for habitable space. Therefore, the space is considered a crawl space and the “access” needs to be a minimum of 18” x 24”. ((See ICC 1209.1)