2584838496 has 96 divisors (see below), whose sum is σ = 6903138816. Its totient is φ = 846720000.

The previous prime is 2584838471. The next prime is 2584838513. The reversal of 2584838496 is 6948384852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 4096101 + ... + 4096731.

It is an arithmetic number, because the mean of its divisors is an integer number (71907696).

Almost surely, 2^2584838496 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 2584838496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3451569408).

2584838496 is an abundant number, since it is smaller than the sum of its proper divisors (4318300320).

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

2584838496 is a wasteful number, since it uses less digits than its factorization.

2584838496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1308 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 57.

The square root of 2584838496 is about 50841.3069855605. The cubic root of 2584838496 is about 1372.3908198791.

The spelling of 2584838496 in words is "two billion, five hundred eighty-four million, eight hundred thirty-eight thousand, four hundred ninety-six".