Hi there,
It is not alot and it will depend if you can buy fractional shares or not. One option, is to buy 4 ($500 each) positions and then slowly add to the portfolio as you have more capital available to deploy. I wouldn't worry too much about building a perfectly balanced portfolio with $2K. When I first started with a few K, i only bought 2 stocks so as to keep my fees low and because there was no option for fractional shares (i know wealthsimple does have these options now).
So yeah, I wouldn't worry about buying all stocks in the model. Start with a lower amount and build on it from there. That said, I don't know if you are a new investor, or if this is just a short term idea, etc. Not sure of the context but if it was me, I'd start with just a handful of stocks and then build from there.
Mat