2538610168352 has 48 divisors (see below), whose sum is σ = 5159614247424. Its totient is φ = 1228239936000.

The previous prime is 2538610168337. The next prime is 2538610168379.

2538610168352 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2538610168352.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10505852 + ... + 10744772.

It is an arithmetic number, because the mean of its divisors is an integer number (107491963488).

Almost surely, 2^{2538610168352} is an apocalyptic number.

It is an amenable number.

2538610168352 is an abundant number, since it is smaller than the sum of its proper divisors (2621004079072).

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

2538610168352 is a wasteful number, since it uses less digits than its factorization.

2538610168352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249673 (or 249665 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 50.

The spelling of 2538610168352 in words is "two trillion, five hundred thirty-eight billion, six hundred ten million, one hundred sixty-eight thousand, three hundred fifty-two".