2585128 has 64 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 988416.

The previous prime is 2585123. The next prime is 2585129. The reversal of 2585128 is 8215852.

It is a self number, because there is not a number n which added to its sum of digits gives 2585128.

It is not an unprimeable number, because it can be changed into a prime (2585123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38551 + ... + 38617.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

2^2585128 is an apocalyptic number.

2585128 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 2585128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2585128 is an abundant number, since it is smaller than the sum of its proper divisors (3583832).

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

2585128 is a wasteful number, since it uses less digits than its factorization.

2585128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its digits is 6400, while the sum is 31.

The square root of 2585128 is about 1607.8333246951. The cubic root of 2585128 is about 137.2442054260.

The spelling of 2585128 in words is "two million, five hundred eighty-five thousand, one hundred twenty-eight".