1. imperativeness(n = noun.state) insistence, insistency, press, pressure - the state of demanding notice or attention; "the insistence of their hunger"; "the press of business matters"
is a kind of urgency
Derived form adjective imperative1
2. imperativeness(n = noun.attribute) instancy - the quality of being insistent; "he pressed his demand with considerable instancy"
is a kind of urgency