2506135035660 has 96 divisors (see below), whose sum is σ = 7519471045632. Its totient is φ = 621412531200.

The previous prime is 2506135035629. The next prime is 2506135035713. The reversal of 2506135035660 is 665305316052.

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, 14716516 + ... + 14885835.

It is an arithmetic number, because the mean of its divisors is an integer number (78327823392).

Almost surely, 2^{2506135035660} is an apocalyptic number.

2506135035660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506135035660 is an abundant number, since it is smaller than the sum of its proper divisors (5013336009972).

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

2506135035660 is a wasteful number, since it uses less digits than its factorization.

2506135035660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29602463 (or 29602461 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 2506135035660 in words is "two trillion, five hundred six billion, one hundred thirty-five million, thirty-five thousand, six hundred sixty".