2577561681 has 8 divisors (see below), whose sum is σ = 3547611904. Its totient is φ = 1662942960.

The previous prime is 2577561661. The next prime is 2577561683. The reversal of 2577561681 is 1861657752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2577561681 - 2²⁶ = 2510452817 is a prime.

It is a super-2 number, since 2×2577561681² = 13287648438719091522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2577561681.

It is not an unprimeable number, because it can be changed into a prime (2577561683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13857766 + ... + 13857951.

It is an arithmetic number, because the mean of its divisors is an integer number (443451488).

Almost surely, 2^2577561681 is an apocalyptic number.

It is an amenable number.

2577561681 is a deficient number, since it is larger than the sum of its proper divisors (970050223).

2577561681 is a wasteful number, since it uses less digits than its factorization.

2577561681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27715751.

The product of its digits is 705600, while the sum is 48.

The square root of 2577561681 is about 50769.6925438790. The cubic root of 2577561681 is about 1371.1017618802.

The spelling of 2577561681 in words is "two billion, five hundred seventy-seven million, five hundred sixty-one thousand, six hundred eighty-one".