2584020200 has 48 divisors (see below), whose sum is σ = 6033096000. Its totient is φ = 1029264320.

The previous prime is 2584020161. The next prime is 2584020233. The reversal of 2584020200 is 20204852.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20771 + ... + 74829.

It is an arithmetic number, because the mean of its divisors is an integer number (125689500).

Almost surely, 2^2584020200 is an apocalyptic number.

2584020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2584020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016548000).

2584020200 is an abundant number, since it is smaller than the sum of its proper divisors (3449075800).

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

2584020200 is a wasteful number, since it uses less digits than its factorization.

2584020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54314 (or 54305 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 2584020200 is about 50833.2587977596. The cubic root of 2584020200 is about 1372.2459829195.

The spelling of 2584020200 in words is "two billion, five hundred eighty-four million, twenty thousand, two hundred".