"White Guy"
The way in which your question was framed, does not invite a "correct" answer.
I am inferring that your post is a question of calculating your RISK.
If your Max(imum) wager is $60 and you intend to play for (just) 8 hrs.
what is the likelihood that you will lose your $2,000 bankroll within the
stated time period ?
$2,000, hard as it is to imagine, can disappear within 8 hrs. if you are simply unlucky.
Splits and double downs contribute mightily in this regard.
If you are seeking just a quick,and approximate reply, I would be comfortable
in stating (just) that with about 33 "Max Bets" there is, in fact, a
substantial chance that you will be going home early with empty pockets.
If this is simply a "one-shot deal"; that is to say that the situation
refers to a plan for a single occurrence, and not a plan to
regularly play BJ with a $2000 bankroll, then a more detailed analysis of
your risk is needed. In simpler, less stilted language, what i am clumsily
trying to say is that you are obviously severely undercapitalized, but
for a one time excursion, you will probably escape unscathed.
If you have a modest BANKROLL of $2,000 you should not
even consider betting at this level on an ongoing basis.
Without sufficient data presented, I'd advice you to subscribe to some
"rules of thumb"; to wit, If your game is a 6 decker you would like to
have 100 times your Max bet $60 times 100 = $6.000. If the game is
an 8 decker that needs to be expanded to 120 Max bets ($7,200).
I apologize for my being far too long-winded.
Links to posts reflecting sage advice on "Risk-of-Ruin" would have been preferable.