2585000 has 80 divisors (see below), whose sum is σ = 6747840. Its totient is φ = 920000.

The previous prime is 2584999. The next prime is 2585029. The reversal of 2585000 is 5852.

2585000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54977 + ... + 55023.

It is an arithmetic number, because the mean of its divisors is an integer number (84348).

2^2585000 is an apocalyptic number.

2585000 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 2585000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373920).

2585000 is an abundant number, since it is smaller than the sum of its proper divisors (4162840).

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

2585000 is a wasteful number, since it uses less digits than its factorization.

2585000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2585000 is about 1607.7935190814. The cubic root of 2585000 is about 137.2419402192.

The spelling of 2585000 in words is "two million, five hundred eighty-five thousand".