First of all check, if the Vout and Vin pads on the PCB shorted to ground.
Its DTM0660L, and i'm not shure, what L stands for (low voltage mb). According to your DS It may be 3.0v or 3.3v (also 2.5v, 2.7v, 2.8v meets the requirements), i think. Specs mostly defined for 3.0v. Maximum power draw for IC itself what ifound in this DS (for 3.0v) - 2mA.
Check, if the other ICs (or other stuff) powered by this regulator. If so, find th DS for it and check for required voltages.
Also check if any voltage testpoints present on the PCB.
Do you have a lab PSU (preferably programmable)?
Actually, i noticed that thing: the DS says "Low voltage detection: external or internal. Internal two-point voltage detection when using 3V supply, external single-point voltage detection when using 4.5V ~ 9V supply." So according to the pinout LVD pin is 13 and it not seems connected to something. Probably they use 3.0v VDD with internal low voltage detector.