Every fingering that fits a hand
3011
open
3013
open
301x
open
3563
moderate · barre
xa88
easy
What is true of it
B♭sus2 is B♭, C and F — 1, 2 and 5 counted from B♭.
These are also the notes of Fsus4/B♭. Which name is right depends on what is underneath and what came before — the notes alone do not decide.
The easiest of the 5 fingerings below is 3011: 3 fingers, held at the 1st fret.
3 of them use open strings, which is what makes a shape quiet to change to.
1 of the 5 need a barre.
Where its notes are on the neck
The brass dots are B♭, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
B♭sus2/C
x011
B♭sus2/F
x563
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.