2561654592 has 112 divisors (see below), whose sum is σ = 8606657920. Its totient is φ = 731897856.

The previous prime is 2561654587. The next prime is 2561654597. The reversal of 2561654592 is 2954561652.

2561654592 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 6 + 54 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (2561654587) and next prime (2561654597).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561654597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93793 + ... + 117984.

It is an arithmetic number, because the mean of its divisors is an integer number (76845160).

Almost surely, 2^2561654592 is an apocalyptic number.

It is an amenable number.

2561654592 is an abundant number, since it is smaller than the sum of its proper divisors (6045003328).

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

2561654592 is a wasteful number, since it uses less digits than its factorization.

2561654592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211805 (or 211789 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 2561654592 is about 50612.7907944227. The cubic root of 2561654592 is about 1368.2754139235.

It can be divided in two parts, 25616 and 54592, that added together give a palindrome (80208).

The spelling of 2561654592 in words is "two billion, five hundred sixty-one million, six hundred fifty-four thousand, five hundred ninety-two".