2585723868 has 288 divisors, whose sum is σ = 8816895360. Its totient is φ = 619315200.

The previous prime is 2585723867. The next prime is 2585723891. The reversal of 2585723868 is 8683275852.

2585723868 is a `hidden beast` number, since 2 + 5 + 8 + 572 + 3 + 8 + 68 = 666.

2585723868 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 (2585723867) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1614268 + ... + 1615868.

It is an arithmetic number, because the mean of its divisors is an integer number (30614220).

Almost surely, 2^2585723868 is an apocalyptic number.

2585723868 is a gapful number since it is divisible by the number (28) 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 2585723868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408447680).

2585723868 is an abundant number, since it is smaller than the sum of its proper divisors (6231171492).

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

2585723868 is a wasteful number, since it uses less digits than its factorization.

2585723868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1672 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 2585723868 is about 50850.0134513257. The cubic root of 2585723868 is about 1372.5474947483.

The spelling of 2585723868 in words is "two billion, five hundred eighty-five million, seven hundred twenty-three thousand, eight hundred sixty-eight".