2505256052778 has 64 divisors (see below), whose sum is σ = 5646112992000. Its totient is φ = 823255695360.

The previous prime is 2505256052701. The next prime is 2505256052791. The reversal of 2505256052778 is 8772506525052.

It is a happy number.

2505256052778 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 2 + 5 + 605 + 27 + 7 + 8 = 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, 70654398 + ... + 70689846.

It is an arithmetic number, because the mean of its divisors is an integer number (88220515500).

Almost surely, 2^{2505256052778} is an apocalyptic number.

2505256052778 is an abundant number, since it is smaller than the sum of its proper divisors (3140856939222).

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

2505256052778 is a wasteful number, since it uses less digits than its factorization.

2505256052778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53964 (or 53958 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 54.

The spelling of 2505256052778 in words is "two trillion, five hundred five billion, two hundred fifty-six million, fifty-two thousand, seven hundred seventy-eight".