2688257681 has 16 divisors (see below), whose sum is σ = 2801175168. Its totient is φ = 2577744000.

The previous prime is 2688257657. The next prime is 2688257711. The reversal of 2688257681 is 1867528862.

It is a cyclic number.

It is not a de Polignac number, because 2688257681 - 2¹⁰ = 2688256657 is a prime.

It is a super-2 number, since 2×2688257681² = 14453458718910995522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2688257381) 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, 730061 + ... + 733733.

It is an arithmetic number, because the mean of its divisors is an integer number (175073448).

Almost surely, 2^2688257681 is an apocalyptic number.

It is an amenable number.

2688257681 is a deficient number, since it is larger than the sum of its proper divisors (112917487).

2688257681 is a wasteful number, since it uses less digits than its factorization.

2688257681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992.

The product of its digits is 2580480, while the sum is 53.

The square root of 2688257681 is about 51848.4105928041. The cubic root of 2688257681 is about 1390.4550863971.

The spelling of 2688257681 in words is "two billion, six hundred eighty-eight million, two hundred fifty-seven thousand, six hundred eighty-one".