twenty-four vs two dozen

twenty-four and two dozen both are nouns.

Word	Noun	Adjective	Verb	Adverb
twenty-four	Yes	Yes	No	No
two dozen	Yes	No	No	No

As nouns, twenty-four and two dozen are synonyms defined as:

twenty-four and two dozen: the cardinal number that is the sum of twenty-three and one

Other synonyms of twenty-four include 24, XXIV.

twenty-four (noun)	two dozen (noun)
the cardinal number that is the sum of twenty-three and one	the cardinal number that is the sum of twenty-three and one

twenty-four (adjective)	two dozen (adjective)
being four more than twenty