How might the world been different had Rome lost the Second Punic War?

Short history lesson: Carthage was a city-state in modern Tunisia and was the chief military and economic rival of Rome. They fought a series of 3 wars over 3 generations which ultimately left with Carthage being sacked and tens of thousands of people killed.

But, in the Second Punic War, Hannibal, one of the great military geniuses of the ancient world had a series of stunning victories against Rome. Rome easily could have surrendered-their losses were that bad-but they didn’t. Ultimately, they came out victorious, and a generation later destroyed Carthage.

But what would have happened had Rome surrendered, and did not go on to be the world power that it did? Rome is the root for our language, much of our culture, our religions, our systems of government, original infrastructure…the list goes on and on.

Can you envision a world where the Roman Empire did not exist? How would that world look?