2498683207680 has 1056 divisors, whose sum is σ = 9893186372160. Its totient is φ = 577807319040.

The previous prime is 2498683207679. The next prime is 2498683207721. The reversal of 2498683207680 is 867023868942.

2498683207680 is a `hidden beast` number, since 2 + 498 + 6 + 83 + 2 + 0 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30104616919 + ... + 30104617001.

Almost surely, 2^{2498683207680} is an apocalyptic number.

2498683207680 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 2498683207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946593186080).

2498683207680 is an abundant number, since it is smaller than the sum of its proper divisors (7394503164480).

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

2498683207680 is an frugal number, since it uses more digits than its factorization.

2498683207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 2498683207680 in words is "two trillion, four hundred ninety-eight billion, six hundred eighty-three million, two hundred seven thousand, six hundred eighty".