2535924295352 has 96 divisors (see below), whose sum is σ = 5632613172720. Its totient is φ = 1066958645760.

The previous prime is 2535924295309. The next prime is 2535924295391.

2535924295352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12404588 + ... + 12607364.

Almost surely, 2^{2535924295352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2535924295352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816306586360).

2535924295352 is an abundant number, since it is smaller than the sum of its proper divisors (3096688877368).

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

2535924295352 is a wasteful number, since it uses less digits than its factorization.

2535924295352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203381 (or 203370 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 56.

The spelling of 2535924295352 in words is "two trillion, five hundred thirty-five billion, nine hundred twenty-four million, two hundred ninety-five thousand, three hundred fifty-two".