2584242496 has 84 divisors (see below), whose sum is σ = 5660241664. Its totient is φ = 1169752320.

The previous prime is 2584242481. The next prime is 2584242527. The reversal of 2584242496 is 6942424852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2376865 + ... + 2377951.

Almost surely, 2^2584242496 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 2584242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830120832).

2584242496 is an abundant number, since it is smaller than the sum of its proper divisors (3075999168).

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

2584242496 is a wasteful number, since it uses less digits than its factorization.

2584242496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1407 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 46.

The square root of 2584242496 is about 50835.4452719753. The cubic root of 2584242496 is about 1372.2853319470.

The spelling of 2584242496 in words is "two billion, five hundred eighty-four million, two hundred forty-two thousand, four hundred ninety-six".