To close (a building) so that no one can enter.
To terminate (a business).
To enclose (a person, animal or thing) in a room or other place so that it cannot leave.
To put (an object) in a secure enclosed place.
Of a person, to stop talking or (of a person or thing) making noise.
He was blathering on about something, but I managed to shut him up.
(used only in the imperative) I don't believe it!, no way!
I got accepted to Yale! – Shut up, really? That's awesome!
To murder, kill
I just heard that your wife was trying to shut you up for the insurance money.
Closed up or off, as in a building that no one is to enter.