2580031296 has 252 divisors, whose sum is σ = 7869326400. Its totient is φ = 807805440.

The previous prime is 2580031277. The next prime is 2580031309. The reversal of 2580031296 is 6921300852.

2580031296 is a `hidden beast` number, since 258 + 0 + 0 + 312 + 96 = 666.

It is a super-2 number, since 2×2580031296² = 13313122976678879232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2580031296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32658585 + ... + 32658663.

Almost surely, 2^2580031296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2580031296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934663200).

2580031296 is an abundant number, since it is smaller than the sum of its proper divisors (5289295104).

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

2580031296 is a wasteful number, since it uses less digits than its factorization.

2580031296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2580031296 is about 50794.0084655661. The cubic root of 2580031296 is about 1371.5395157271.

The spelling of 2580031296 in words is "two billion, five hundred eighty million, thirty-one thousand, two hundred ninety-six".