2561979456 has 315 divisors, whose sum is σ = 8237741589. Its totient is φ = 787180032.

The previous prime is 2561979421. The next prime is 2561979463. The reversal of 2561979456 is 6549791652.

The square root of 2561979456 is 50616.

It is a perfect power (a square), and thus also a powerful number.

2561979456 is a `hidden beast` number, since 2 + 561 + 9 + 79 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2292494400 + 269485056 = 47880^2 + 16416^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 69242670 + ... + 69242706.

Almost surely, 2^2561979456 is an apocalyptic number.

2561979456 is the 50616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561979456

2561979456 is an abundant number, since it is smaller than the sum of its proper divisors (5675762133).

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

2561979456 is an equidigital number, since it uses as much as digits as its factorization.

2561979456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 61 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The cubic root of 2561979456 is about 1368.3332521447. Note that the first 3 decimals are identical.

The spelling of 2561979456 in words is "two billion, five hundred sixty-one million, nine hundred seventy-nine thousand, four hundred fifty-six".