2561465504 has 24 divisors (see below), whose sum is σ = 5430800340. Its totient is φ = 1182214656.

The previous prime is 2561465453. The next prime is 2561465521. The reversal of 2561465504 is 4055641652.

It can be written as a sum of positive squares in 2 ways, for example, as 2088490000 + 472975504 = 45700^2 + 21748^2 .

It is a super-2 number, since 2×2561465504² = 13122211056363948032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3078269 + ... + 3079100.

Almost surely, 2^2561465504 is an apocalyptic number.

It is an amenable number.

2561465504 is an abundant number, since it is smaller than the sum of its proper divisors (2869334836).

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

2561465504 is a wasteful number, since it uses less digits than its factorization.

2561465504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6157392 (or 6157384 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The square root of 2561465504 is about 50610.9227736464. The cubic root of 2561465504 is about 1368.2417467736.

The spelling of 2561465504 in words is "two billion, five hundred sixty-one million, four hundred sixty-five thousand, five hundred four".