2532464642352 has 20 divisors (see below), whose sum is σ = 6542200326200. Its totient is φ = 844154880768.

The previous prime is 2532464642297. The next prime is 2532464642369.

2532464642352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 52759680049 = 2532464642352 / (2 + 5 + 3 + 2 + 4 + 6 + 4 + 6 + 4 + 2 + 3 + 5 + 2).

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 3 ways as a sum of consecutive naturals, for example, 26379839977 + ... + 26379840072.

It is an arithmetic number, because the mean of its divisors is an integer number (327110016310).

Almost surely, 2^{2532464642352} is an apocalyptic number.

It is an amenable number.

2532464642352 is an abundant number, since it is smaller than the sum of its proper divisors (4009735683848).

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

2532464642352 is a wasteful number, since it uses less digits than its factorization.

2532464642352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52759680060 (or 52759680054 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

The spelling of 2532464642352 in words is "two trillion, five hundred thirty-two billion, four hundred sixty-four million, six hundred forty-two thousand, three hundred fifty-two".