tidy up vs tidy

tidy up is not a noun while tidy is a noun.

Word	Noun	Adjective	Verb	Adverb
tidy up	No	No	Yes	No
tidy	Yes	Yes	Yes	No

As verbs, tidy up and tidy are synonyms defined as:

Other synonyms of tidy up include clean up, neaten, square away, straighten, straighten out.

tidy up (noun)	tidy (noun)
	receptacle that holds odds and ends (as sewing materials)

tidy up (adjective)	tidy (adjective)
	marked by order and cleanliness in appearance or habits
	large in amount or extent or degree
	(of hair) neat and tidy

tidy up (verb)	tidy (verb)
put (things or places) in order	put (things or places) in order