HI- the 240V will probably be 50Hz not 60Hz -
The 50Hz not 60Hz should have no problem in any way I can think of.
Now the REVERSE.. going from 60Hz TO 50HZ could have a problem.. yes. (particularly overheating of the transformer.)
But 50 to 60 nope.
Though if there are circuit protection devices they might have a possible but unlikely problem going from 50 up to 60Hz.
(I run all my digital stuff AC off a PS Audio P600 regenerator I have set to output 110Hz! Works great, and in fact plenty of power supplies work BETTER with a higher Hz on the AC line)