2542635304601 has 32 divisors (see below), whose sum is σ = 3019623340800. Its totient is φ = 2094769797120.

The previous prime is 2542635304579. The next prime is 2542635304613. The reversal of 2542635304601 is 1064035362452.

It is not a de Polignac number, because 2542635304601 - 2¹⁰ = 2542635303577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2542635304621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167945090 + ... + 167960228.

It is an arithmetic number, because the mean of its divisors is an integer number (94363229400).

Almost surely, 2^{2542635304601} is an apocalyptic number.

It is an amenable number.

2542635304601 is a deficient number, since it is larger than the sum of its proper divisors (476988036199).

2542635304601 is a wasteful number, since it uses less digits than its factorization.

2542635304601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18849.

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 2542635304601 in words is "two trillion, five hundred forty-two billion, six hundred thirty-five million, three hundred four thousand, six hundred one".