twenty-four vs large integer

twenty-four and large integer both are nouns.

Word	Noun	Adjective	Verb	Adverb
twenty-four	Yes	Yes	No	No
large integer	Yes	No	No	No

As nouns, large integer is a hypernym of twenty-four; that is, large integer is a word with a broader meaning than twenty-four:

twenty-four (noun)	large integer (noun)
the cardinal number that is the sum of twenty-three and one	an integer equal to or greater than ten

twenty-four (adjective)	large integer (adjective)
being four more than twenty