2628864974520 has 192 divisors, whose sum is σ = 8558408401920. Its totient is φ = 699834200832.

The previous prime is 2628864974513. The next prime is 2628864974521. The reversal of 2628864974520 is 254794688262.

2628864974520 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 86 + 497 + 45 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628864974521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691258939 + ... + 691262741.

It is an arithmetic number, because the mean of its divisors is an integer number (44575043760).

Almost surely, 2^{2628864974520} is an apocalyptic number.

2628864974520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2628864974520 is an abundant number, since it is smaller than the sum of its proper divisors (5929543427400).

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

2628864974520 is a wasteful number, since it uses less digits than its factorization.

2628864974520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6594 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 2628864974520 in words is "two trillion, six hundred twenty-eight billion, eight hundred sixty-four million, nine hundred seventy-four thousand, five hundred twenty".