2.47% is a really, really good rate, doubly so if it's a fixed rate, and quadruply so if the interest is tax-deductible. That's about as close to "free money" as you're ever going to get. Heck, depending on what inflation does over the next few years, it might even be cheaper than free.
So if you have the risk tolerance for it, it's probably more effective to invest the money in the stock market than to accelerate your student loan payoff. You can even do better in the bond market (my go-to intermediate-term corporate bond fund is yielding nearly 4% right now.)
Just remember the old banker's aphorism: Assets shrink. Liabilities never shrink. You can lose the money you've invested in stocks or bonds, and you'll still have to pay back the loan. And, when in doubt, you can usually assume you're underestimating your risks.
If you're feeling up for it, I'd say: make sure you have a good emergency fund outside of your investment money - something you could live on for six months or so and pay your bills while looking for a job, and sock the rest into something like the Vanguard LifeStrategy Moderate Growth fund or a similar instrument (Vanguard's just my personal preference, since I like their style - and by style, I mean low fees - but definitely feel free to consider alternatives). You could also pad your retirement accounts and avoid taxes on any gains instead, but remember that it's easier to put money into those than take it out, so be sure to double-check the state of your emergency fund.