2542405242200 has 48 divisors (see below), whose sum is σ = 5911254780480. Its totient is φ = 1016934124160.

The previous prime is 2542405242193. The next prime is 2542405242203. The reversal of 2542405242200 is 22425042452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542405242203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8088377 + ... + 8396823.

It is an arithmetic number, because the mean of its divisors is an integer number (123151141260).

Almost surely, 2^{2542405242200} is an apocalyptic number.

2542405242200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542405242200 is an abundant number, since it is smaller than the sum of its proper divisors (3368849538280).

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

2542405242200 is a wasteful number, since it uses less digits than its factorization.

2542405242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349676 (or 349667 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 32.

The spelling of 2542405242200 in words is "two trillion, five hundred forty-two billion, four hundred five million, two hundred forty-two thousand, two hundred".