2561627623 has 24 divisors (see below), whose sum is σ = 2752429680. Its totient is φ = 2380976640.

The previous prime is 2561627591. The next prime is 2561627647. The reversal of 2561627623 is 3267261652.

It is not a de Polignac number, because 2561627623 - 2⁵ = 2561627591 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561627023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4485928 + ... + 4486498.

It is an arithmetic number, because the mean of its divisors is an integer number (114684570).

Almost surely, 2^2561627623 is an apocalyptic number.

2561627623 is a deficient number, since it is larger than the sum of its proper divisors (190802057).

2561627623 is a wasteful number, since it uses less digits than its factorization.

2561627623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 750 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 2561627623 is about 50612.5243689741. The cubic root of 2561627623 is about 1368.2706121899.

The spelling of 2561627623 in words is "two billion, five hundred sixty-one million, six hundred twenty-seven thousand, six hundred twenty-three".