2585276496 has 480 divisors, whose sum is σ = 9136558080. Its totient is φ = 671846400.

The previous prime is 2585276467. The next prime is 2585276537. The reversal of 2585276496 is 6946725852.

2585276496 is a `hidden beast` number, since 2 + 5 + 85 + 2 + 76 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15860511 + ... + 15860673.

It is an arithmetic number, because the mean of its divisors is an integer number (19034496).

Almost surely, 2^2585276496 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 2585276496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568279040).

2585276496 is an abundant number, since it is smaller than the sum of its proper divisors (6551281584).

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

2585276496 is a wasteful number, since it uses less digits than its factorization.

2585276496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 2585276496 is about 50845.6143241480. The cubic root of 2585276496 is about 1372.4683325529.

The spelling of 2585276496 in words is "two billion, five hundred eighty-five million, two hundred seventy-six thousand, four hundred ninety-six".