Very high speed counter (around 1.5 GHz to 2 GHz)
Other answers have focused on why you might be approaching this the wrong way. Although I agree with those answers, what you're asking for does exist, so I'll go ahead and give you a straight answer. You'll likely find that this approach is more expensive than alternatives though.

What you want is a 2 GHz voltage-controlled oscillator (VCO) with 3.3-V LVPECL outputs. There are many vendors out there who make such parts. 

If you don't find one with LVPECL output, since this is a clock signal, it's relatively easy to adjust the levels to something compatible with LVPECL by ac coupling and rebiasing. Any rf level between -3 and +2 dBm should be usable with a LVPECL input. 

LVPECL parts like your 100EP016A can also accept single-ended inputs if you bias the complementary input to the midpoint between the normal logic levels (often there's even a pin called VBB that outputs this level for your convenience, but I didn't check if the 'EP016A has it).

You will then need to build a phase-locked loop to maintain the VCO output frequency accurately by comparing it with a low-drift reference oscillator, which could be anywhere from 10 to 100 MHz. 

One part that provides both the VCO and PLL in one chip is Analog Devices' ADF4360-2

A couple more notes:

I noticed that the maximum guaranteed switching frequency of the MC100EP016A is only 1.2 GHz, so if you really want to do this at 2 GHz, you might want to look for another part. Maybe MC100E137, but then you'll need to have a 5 V supply and you'll also need to deal with the unequal timing of the different outputs for a ripple counter.

Finally, you'll need to deal with latching in all the bits of the count at exactly the same instant, so you don't capture some bits before a transition and some bits after. One solution to this is to use a gray-coded counter instead of a binary counter --- then only one bit changes for any transition, and the maximum error from latching delay variation is only a single count.