2585188320 has 192 divisors, whose sum is σ = 9567258624. Its totient is φ = 578488320.

The previous prime is 2585188297. The next prime is 2585188321. The reversal of 2585188320 is 238815852.

2585188320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585188321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49809 + ... + 87471.

It is an arithmetic number, because the mean of its divisors is an integer number (49829472).

Almost surely, 2^2585188320 is an apocalyptic number.

2585188320 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 2585188320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783629312).

2585188320 is an abundant number, since it is smaller than the sum of its proper divisors (6982070304).

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

2585188320 is a wasteful number, since it uses less digits than its factorization.

2585188320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37705 (or 37697 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 2585188320 is about 50844.7472213207. The cubic root of 2585188320 is about 1372.4527287875.

The spelling of 2585188320 in words is "two billion, five hundred eighty-five million, one hundred eighty-eight thousand, three hundred twenty".