2542230414400 has 42 divisors (see below), whose sum is σ = 6255475717370. Its totient is φ = 1016892165120.

The previous prime is 2542230414379. The next prime is 2542230414433. The reversal of 2542230414400 is 44140322452.

It can be written as a sum of positive squares in 3 ways, for example, as 91828393024 + 2450402021376 = 303032^2 + 1565376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 794445405 + ... + 794448604.

Almost surely, 2^{2542230414400} is an apocalyptic number.

2542230414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542230414400 is an abundant number, since it is smaller than the sum of its proper divisors (3713245302970).

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

2542230414400 is a wasteful number, since it uses less digits than its factorization.

2542230414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588894031 (or 1588894016 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 2542230414400 its reverse (44140322452), we get a palindrome (2586370736852).

The spelling of 2542230414400 in words is "two trillion, five hundred forty-two billion, two hundred thirty million, four hundred fourteen thousand, four hundred".