2583230216 has 96 divisors (see below), whose sum is σ = 5860512000. Its totient is φ = 1063085184.

The previous prime is 2583230201. The next prime is 2583230227. The reversal of 2583230216 is 6120323852.

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 23 ways as a sum of consecutive naturals, for example, 2534555 + ... + 2535573.

It is an arithmetic number, because the mean of its divisors is an integer number (61047000).

Almost surely, 2^2583230216 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 2583230216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930256000).

2583230216 is an abundant number, since it is smaller than the sum of its proper divisors (3277281784).

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

2583230216 is a wasteful number, since it uses less digits than its factorization.

2583230216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2583230216 is about 50825.4878579635. The cubic root of 2583230216 is about 1372.1061281226.

The spelling of 2583230216 in words is "two billion, five hundred eighty-three million, two hundred thirty thousand, two hundred sixteen".