Hello Cyesman,
The supply voltage as you mentioned is 2.4 to 3.6V, so the voltage should ideally not go lower than 2.4V. If this voltage falls enough as to reach 2.2V then an interrupt from the Brownout Detection can warn the system as this could mean for example that the battery voltage is too low, and you may want to take some action.
For reference, the RTC module will continue working down to 2.1V, so this would be the lower safe voltage (albeit not desirable). If the voltage would keep lowering to 1.85V the Brownout Detection would assert a reset to inactivate the LPC1765 as flash operations would not be reliable at this voltage level.
More than a low battery level, these would be thresholds to where the supply voltage is critically low, with the 1.85V interrupt shutting down the microcontroller
I hope that this information helps.
Regards,
Gustavo