2561584641 has 24 divisors (see below), whose sum is σ = 4290482112. Its totient is φ = 1330692000.

The previous prime is 2561584637. The next prime is 2561584657. The reversal of 2561584641 is 1464851652.

It is not a de Polignac number, because 2561584641 - 2² = 2561584637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2561584593 and 2561584602.

It is not an unprimeable number, because it can be changed into a prime (2561584661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501510 + ... + 506591.

It is an arithmetic number, because the mean of its divisors is an integer number (178770088).

Almost surely, 2^2561584641 is an apocalyptic number.

2561584641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2561584641 is a deficient number, since it is larger than the sum of its proper divisors (1728897471).

2561584641 is a wasteful number, since it uses less digits than its factorization.

2561584641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008133 (or 1008122 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 2561584641 is about 50612.0997489731. The cubic root of 2561584641 is about 1368.2629593294.

The spelling of 2561584641 in words is "two billion, five hundred sixty-one million, five hundred eighty-four thousand, six hundred forty-one".