2589936 has 40 divisors (see below), whose sum is σ = 6785280. Its totient is φ = 851136.

The previous prime is 2589931. The next prime is 2589971. The reversal of 2589936 is 6399852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2589931) 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, 3451 + ... + 4133.

It is an arithmetic number, because the mean of its divisors is an integer number (169632).

2^2589936 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 2589936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392640).

2589936 is an abundant number, since it is smaller than the sum of its proper divisors (4195344).

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

2589936 is a wasteful number, since it uses less digits than its factorization.

2589936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 2589936 is about 1609.3278099878. The cubic root of 2589936 is about 137.3292381557.

The spelling of 2589936 in words is "two million, five hundred eighty-nine thousand, nine hundred thirty-six".