2542405242201 has 16 divisors (see below), whose sum is σ = 3784045013760. Its totient is φ = 1505017901520.

The previous prime is 2542405242193. The next prime is 2542405242203. The reversal of 2542405242201 is 1022425042452.

It is not a de Polignac number, because 2542405242201 - 2³ = 2542405242193 is a prime.

It is a super-2 number, since 2×2542405242201² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

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 15 ways as a sum of consecutive naturals, for example, 895842571 + ... + 895845408.

It is an arithmetic number, because the mean of its divisors is an integer number (236502813360).

Almost surely, 2^{2542405242201} is an apocalyptic number.

It is an amenable number.

2542405242201 is a deficient number, since it is larger than the sum of its proper divisors (1241639771559).

2542405242201 is a wasteful number, since it uses less digits than its factorization.

2542405242201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791688036.

The product of its (nonzero) digits is 51200, while the sum is 33.

The spelling of 2542405242201 in words is "two trillion, five hundred forty-two billion, four hundred five million, two hundred forty-two thousand, two hundred one".