2585228880 has 160 divisors (see below), whose sum is σ = 8909429760. Its totient is φ = 615813120.

The previous prime is 2585228873. The next prime is 2585228881. The reversal of 2585228880 is 888225852.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585228881) 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, 83356 + ... + 110084.

It is an arithmetic number, because the mean of its divisors is an integer number (55683936).

Almost surely, 2^2585228880 is an apocalyptic number.

2585228880 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 2585228880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454714880).

2585228880 is an abundant number, since it is smaller than the sum of its proper divisors (6324200880).

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

2585228880 is a wasteful number, since it uses less digits than its factorization.

2585228880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26789 (or 26783 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 48.

The square root of 2585228880 is about 50845.1460810174. The cubic root of 2585228880 is about 1372.4599063938.

The spelling of 2585228880 in words is "two billion, five hundred eighty-five million, two hundred twenty-eight thousand, eight hundred eighty".