2535442012400 has 120 divisors (see below), whose sum is σ = 6646404912384. Its totient is φ = 921806611200.

The previous prime is 2535442012387. The next prime is 2535442012421. The reversal of 2535442012400 is 42102445352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24795779 + ... + 24897821.

Almost surely, 2^{2535442012400} is an apocalyptic number.

2535442012400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2535442012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323202456192).

2535442012400 is an abundant number, since it is smaller than the sum of its proper divisors (4110962899984).

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

2535442012400 is a wasteful number, since it uses less digits than its factorization.

2535442012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107719 (or 107708 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 2535442012400 its reverse (42102445352), we get a palindrome (2577544457752).

The spelling of 2535442012400 in words is "two trillion, five hundred thirty-five billion, four hundred forty-two million, twelve thousand, four hundred".