you want 2.048MHz. which is 2**14 * 5**3 (2**11 * 1000)
for the very slow clocks, this will work. Keep in mind that any signals passing between the "fast" clock and slow clock domains may need to meet timing. This becomes more difficult in FPGAs with this style of clocking. eg, if a signal can change on a 2.048MHz clock cycle and is expected to be registered by the 2Hz clock. Or if a register clocked by the 2Hz clock needs to be registered in the 2.048MHz domain. with a 2.048MHz input clock, this probably won't be an issue though.
For clocks of appreciable rate, it is more common to either use the dedicated clock division resources (divide by 8, or in some cases 128), or to use clock enables in the faster clock domain.