2552627618280 has 128 divisors (see below), whose sum is σ = 8528502182400. Its totient is φ = 679121222400.

The previous prime is 2552627618251. The next prime is 2552627618297. The reversal of 2552627618280 is 828167262552.

2552627618280 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 627 + 6 + 1 + 8 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2276451 + ... + 3207410.

It is an arithmetic number, because the mean of its divisors is an integer number (66628923300).

Almost surely, 2^{2552627618280} is an apocalyptic number.

2552627618280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2552627618280 is an abundant number, since it is smaller than the sum of its proper divisors (5975874564120).

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

2552627618280 is a wasteful number, since it uses less digits than its factorization.

2552627618280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484312 (or 5484302 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 2552627618280 in words is "two trillion, five hundred fifty-two billion, six hundred twenty-seven million, six hundred eighteen thousand, two hundred eighty".