2585260800 has 270 divisors, whose sum is σ = 9560803868. Its totient is φ = 689264640.

The previous prime is 2585260793. The next prime is 2585260813. The reversal of 2585260800 is 80625852.

2585260800 is a `hidden beast` number, since 2 + 58 + 526 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 515907 + ... + 520893.

Almost surely, 2^2585260800 is an apocalyptic number.

2585260800 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 2585260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780401934).

2585260800 is an abundant number, since it is smaller than the sum of its proper divisors (6975543068).

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

2585260800 is an equidigital number, since it uses as much as digits as its factorization.

2585260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2585260800 is about 50845.4599743183. The cubic root of 2585260800 is about 1372.4655549897.

The spelling of 2585260800 in words is "two billion, five hundred eighty-five million, two hundred sixty thousand, eight hundred".