2535438345352 has 48 divisors (see below), whose sum is σ = 5288369652720. Its totient is φ = 1138586734560.

The previous prime is 2535438345329. The next prime is 2535438345361.

2535438345352 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 2535438345352.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15698298 + ... + 15858985.

It is an arithmetic number, because the mean of its divisors is an integer number (110174367765).

Almost surely, 2^{2535438345352} is an apocalyptic number.

2535438345352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2535438345352 is an abundant number, since it is smaller than the sum of its proper divisors (2752931307368).

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

2535438345352 is a wasteful number, since it uses less digits than its factorization.

2535438345352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31557394 (or 31557379 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 52.

The spelling of 2535438345352 in words is "two trillion, five hundred thirty-five billion, four hundred thirty-eight million, three hundred forty-five thousand, three hundred fifty-two".