2585894220 has 336 divisors, whose sum is σ = 10025870400. Its totient is φ = 545315328.

The previous prime is 2585894203. The next prime is 2585894251. The reversal of 2585894220 is 224985852.

2585894220 is a `hidden beast` number, since 2 + 5 + 8 + 589 + 42 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1325806 + ... + 1327754.

It is an arithmetic number, because the mean of its divisors is an integer number (29838900).

Almost surely, 2^2585894220 is an apocalyptic number.

2585894220 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 2585894220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012935200).

2585894220 is an abundant number, since it is smaller than the sum of its proper divisors (7439976180).

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

2585894220 is a wasteful number, since it uses less digits than its factorization.

2585894220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2585894220 is about 50851.6884675426. The cubic root of 2585894220 is about 1372.5776360276.

The spelling of 2585894220 in words is "two billion, five hundred eighty-five million, eight hundred ninety-four thousand, two hundred twenty".