Every fingering that fits a hand
1341
moderate · barre
x866
easy
What is true of it
A♭sus2 is A♭, B♭ and E♭ — 1, 2 and 5 counted from A♭.
These are also the notes of E♭sus4/A♭ and D♯sus4/A♭. Which name is right depends on what is underneath and what came before — the notes alone do not decide.
The easiest of the 2 fingerings below is 1341: 3 fingers, one of them barring the 1st fret, held at the 1st fret.
None of them uses an open string, so this chord moves up the neck unchanged — the same shape 1 fret higher is the chord a semitone above.
1 of the 2 need a barre.
Where its notes are on the neck
The brass dots are A♭, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
A♭sus2/B♭
334x
A♭sus2/E♭
x341
An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.