2585394 has 72 divisors (see below), whose sum is σ = 6896448. Its totient is φ = 685440.

The previous prime is 2585389. The next prime is 2585399. The reversal of 2585394 is 4935852.

It is an interprime number because it is at equal distance from previous prime (2585389) and next prime (2585399).

Its product of digits (43200) is a multiple of the sum of its prime divisors (100).

It is not an unprimeable number, because it can be changed into a prime (2585399) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36379 + ... + 36449.

It is an arithmetic number, because the mean of its divisors is an integer number (95784).

2^2585394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448224).

2585394 is an abundant number, since it is smaller than the sum of its proper divisors (4311054).

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

2585394 is a wasteful number, since it uses less digits than its factorization.

2585394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 2585394 is about 1607.9160425843. The cubic root of 2585394 is about 137.2489125696.

The spelling of 2585394 in words is "two million, five hundred eighty-five thousand, three hundred ninety-four".