Yes, $2000 is probably about the average investment in mining equipment. With that amount you could build a nice rig of 4 to 6 cards and the associated support hardware. Much of the choice will come down to which coins you want to mine. Ethereum typically favors AMD and Equihash (Zcash) favors Nvidia, but they both can mine the other algorithm in a pinch.
Typical ETH build:
5 x RX580 8 GB - $310 ea or $1,550 total
1 x mobo with support for 5 or 6 GPUs - ~$120
1 x CPU (Intel G4400) - ~$50
1 x RAM 4 GB - ~ $30
1 x 120 GB SSD - ~$50
5 x PCIe USB risers - $50
1 x 1000 watts PSU - $150
This would put you right at your $2,000 budget. You would also need some type of frame to hold everything so you might need another $50 or so in materials.
A Zcash (Equihash) build would be much the same except you would pick some Nvidia cards such as the 1070's or perhaps the 1060's instead. The 1070's run around $500 so you could run 3 x of them and the 1060's go for $200 for the 3 GB version and $350 for the 6 GB version so you could run 5 or even 6x (if your motherboard supports it).
That was a great suggestion, however, as per my understanding, this equipment is not good enough to mine Bitcoin, but it can be a good option for altcoins like Litecoin. Also, I think the RAM should be 8 or 16 GB.