2583064896 has 112 divisors (see below), whose sum is σ = 7285939200. Its totient is φ = 805289472.

The previous prime is 2583064873. The next prime is 2583064901. The reversal of 2583064896 is 6984603852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283711 + ... + 292673.

Almost surely, 2^2583064896 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 2583064896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642969600).

2583064896 is an abundant number, since it is smaller than the sum of its proper divisors (4702874304).

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

2583064896 is a wasteful number, since it uses less digits than its factorization.

2583064896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9076 (or 9066 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 2583064896 is about 50823.8614825753. The cubic root of 2583064896 is about 1372.0768570930.

The spelling of 2583064896 in words is "two billion, five hundred eighty-three million, sixty-four thousand, eight hundred ninety-six".