2497681768320 has 512 divisors, whose sum is σ = 9594799401600. Its totient is φ = 611576709120.

The previous prime is 2497681768291. The next prime is 2497681768331. The reversal of 2497681768320 is 238671867942.

2497681768320 is a `hidden beast` number, since 2 + 497 + 6 + 81 + 7 + 68 + 3 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11940472 + ... + 12147848.

Almost surely, 2^{2497681768320} is an apocalyptic number.

2497681768320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2497681768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797399700800).

2497681768320 is an abundant number, since it is smaller than the sum of its proper divisors (7097117633280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2497681768320 is a wasteful number, since it uses less digits than its factorization.

2497681768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207463 (or 207445 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 2497681768320 in words is "two trillion, four hundred ninety-seven billion, six hundred eighty-one million, seven hundred sixty-eight thousand, three hundred twenty".