2535142415352 has 32 divisors (see below), whose sum is σ = 6542303009280. Its totient is φ = 817787875680.

The previous prime is 2535142415291. The next prime is 2535142415381.

2535142415352 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2535142415352² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 1703723998 + ... + 1703725485.

It is an arithmetic number, because the mean of its divisors is an integer number (204446969040).

Almost surely, 2^{2535142415352} is an apocalyptic number.

It is an amenable number.

2535142415352 is an abundant number, since it is smaller than the sum of its proper divisors (4007160593928).

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

2535142415352 is a wasteful number, since it uses less digits than its factorization.

2535142415352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407449523 (or 3407449519 counting only the distinct ones).

The product of its digits is 720000, while the sum is 42.

The spelling of 2535142415352 in words is "two trillion, five hundred thirty-five billion, one hundred forty-two million, four hundred fifteen thousand, three hundred fifty-two".