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My Z2 keeps switching itself off when there is a notification. This doesn't happen every time, but when it does happen, I will need to plug it to the charger to turn the device on again.
Also, I don't seem to have the problem when the phone is in silent mode.
Boot in safe mode and check if the same occurs:
/t5/FAQ/How-to-boot-your-phone-into-safe-mode/m-p/348008#U348008