2680157690496 has 1024 divisors, whose sum is σ = 9479470694400. Its totient is φ = 734824120320.

The previous prime is 2680157690471. The next prime is 2680157690533. The reversal of 2680157690496 is 6940967510862.

2680157690496 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 1 + 57 + 6 + 90 + 496 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9147295726 + ... + 9147296018.

It is an arithmetic number, because the mean of its divisors is an integer number (9257295600).

Almost surely, 2^{2680157690496} is an apocalyptic number.

2680157690496 is a gapful number since it is divisible by the number (26) 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 2680157690496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739735347200).

2680157690496 is an abundant number, since it is smaller than the sum of its proper divisors (6799313003904).

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

2680157690496 is a wasteful number, since it uses less digits than its factorization.

2680157690496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 2680157690496 in words is "two trillion, six hundred eighty billion, one hundred fifty-seven million, six hundred ninety thousand, four hundred ninety-six".