2688415268601 has 16 divisors (see below), whose sum is σ = 3597365938496. Its totient is φ = 1785879285696.

The previous prime is 2688415268599. The next prime is 2688415268603. The reversal of 2688415268601 is 1068625148862.

It is an interprime number because it is at equal distance from previous prime (2688415268599) and next prime (2688415268603).

It is not a de Polignac number, because 2688415268601 - 2¹ = 2688415268599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2688415268603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186951 + ... + 2326323.

It is an arithmetic number, because the mean of its divisors is an integer number (224835371156).

Almost surely, 2^{2688415268601} is an apocalyptic number.

It is an amenable number.

2688415268601 is a deficient number, since it is larger than the sum of its proper divisors (908950669895).

2688415268601 is a wasteful number, since it uses less digits than its factorization.

2688415268601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140872.

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 2688415268601 in words is "two trillion, six hundred eighty-eight billion, four hundred fifteen million, two hundred sixty-eight thousand, six hundred one".