2461735668568 has 64 divisors (see below), whose sum is σ = 5331829795200. Its totient is φ = 1053096952320.

The previous prime is 2461735668533. The next prime is 2461735668617. The reversal of 2461735668568 is 8658665371642.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57513271 + ... + 57556057.

It is an arithmetic number, because the mean of its divisors is an integer number (83309840550).

Almost surely, 2^{2461735668568} is an apocalyptic number.

It is an amenable number.

2461735668568 is an abundant number, since it is smaller than the sum of its proper divisors (2870094126632).

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

2461735668568 is a wasteful number, since it uses less digits than its factorization.

2461735668568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81280 (or 81276 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 67.

The spelling of 2461735668568 in words is "two trillion, four hundred sixty-one billion, seven hundred thirty-five million, six hundred sixty-eight thousand, five hundred sixty-eight".