2506634366052 has 96 divisors (see below), whose sum is σ = 6201166132224. Its totient is φ = 785341440000.

The previous prime is 2506634366039. The next prime is 2506634366059.

It is a happy number.

2506634366052 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2506634365992 and 2506634366010.

It is not an unprimeable number, because it can be changed into a prime (2506634366059) by changing a digit.

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, 756603948 + ... + 756607260.

It is an arithmetic number, because the mean of its divisors is an integer number (64595480544).

Almost surely, 2^{2506634366052} is an apocalyptic number.

It is an amenable number.

2506634366052 is an abundant number, since it is smaller than the sum of its proper divisors (3694531766172).

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

2506634366052 is a wasteful number, since it uses less digits than its factorization.

2506634366052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7189 (or 7187 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 2506634366052 in words is "two trillion, five hundred six billion, six hundred thirty-four million, three hundred sixty-six thousand, fifty-two".