2561726560 has 48 divisors (see below), whose sum is σ = 6088382496. Its totient is φ = 1018544128.

The previous prime is 2561726533. The next prime is 2561726579. The reversal of 2561726560 is 656271652.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21217 + ... + 74656.

It is an arithmetic number, because the mean of its divisors is an integer number (126841302).

Almost surely, 2^2561726560 is an apocalyptic number.

2561726560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561726560 is an abundant number, since it is smaller than the sum of its proper divisors (3526655936).

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

2561726560 is a wasteful number, since it uses less digits than its factorization.

2561726560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96055 (or 96047 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 2561726560 is about 50613.5017559544. The cubic root of 2561726560 is about 1368.2882274026.

The spelling of 2561726560 in words is "two billion, five hundred sixty-one million, seven hundred twenty-six thousand, five hundred sixty".