2589696 has 66 divisors (see below), whose sum is σ = 7504302. Its totient is φ = 860160.

The previous prime is 2589679. The next prime is 2589701. The reversal of 2589696 is 6969852.

2589696 is a `hidden beast` number, since 2 + 589 + 69 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2359296 + 230400 = 1536^2 + 480^2 .

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9076 + ... + 9356.

2^2589696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2589696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752151).

2589696 is an abundant number, since it is smaller than the sum of its proper divisors (4914606).

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

2589696 is a wasteful number, since it uses less digits than its factorization.

2589696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 286 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 2589696 is about 1609.2532429671. The cubic root of 2589696 is about 137.3249960901.

The spelling of 2589696 in words is "two million, five hundred eighty-nine thousand, six hundred ninety-six".