2588200920 has 96 divisors (see below), whose sum is σ = 8431160400. Its totient is φ = 688586496.

The previous prime is 2588200907. The next prime is 2588200933. The reversal of 2588200920 is 290028852.

2588200920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2588200907) and next prime (2588200933).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151366 + ... + 167594.

Almost surely, 2^2588200920 is an apocalyptic number.

2588200920 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 2588200920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215580200).

2588200920 is an abundant number, since it is smaller than the sum of its proper divisors (5842959480).

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

2588200920 is a wasteful number, since it uses less digits than its factorization.

2588200920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16689 (or 16682 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2588200920 is about 50874.3640746496. The cubic root of 2588200920 is about 1372.9856423886.

The spelling of 2588200920 in words is "two billion, five hundred eighty-eight million, two hundred thousand, nine hundred twenty".