2583490896 has 360 divisors, whose sum is σ = 8983710720. Its totient is φ = 708704640.

The previous prime is 2583490873. The next prime is 2583490907. The reversal of 2583490896 is 6980943852.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20342385 + ... + 20342511.

It is an arithmetic number, because the mean of its divisors is an integer number (24954752).

Almost surely, 2^2583490896 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 2583490896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491855360).

2583490896 is an abundant number, since it is smaller than the sum of its proper divisors (6400219824).

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

2583490896 is a wasteful number, since it uses less digits than its factorization.

2583490896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 2583490896 is about 50828.0522546359. The cubic root of 2583490896 is about 1372.1522807512.

The spelling of 2583490896 in words is "two billion, five hundred eighty-three million, four hundred ninety thousand, eight hundred ninety-six".