2585968 has 40 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 1007040.

The previous prime is 2585963. The next prime is 2585969. The reversal of 2585968 is 8695852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183 + ... + 2281.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

2^2585968 is an apocalyptic number.

2585968 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 2585968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

2585968 is an abundant number, since it is smaller than the sum of its proper divisors (3663632).

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

2585968 is a wasteful number, since it uses less digits than its factorization.

2585968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2119 counting only the distinct ones).

The product of its digits is 172800, while the sum is 43.

The square root of 2585968 is about 1608.0945245849. The cubic root of 2585968 is about 137.2590689902.

It can be divided in two parts, 2585 and 968, that added together give a palindrome (3553).

The spelling of 2585968 in words is "two million, five hundred eighty-five thousand, nine hundred sixty-eight".