2596896 has 72 divisors (see below), whose sum is σ = 7547904. Its totient is φ = 846720.

The previous prime is 2596889. The next prime is 2596897. The reversal of 2596896 is 6986952.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2596897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20385 + ... + 20511.

It is an arithmetic number, because the mean of its divisors is an integer number (104832).

2^2596896 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 2596896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952).

2596896 is an abundant number, since it is smaller than the sum of its proper divisors (4951008).

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

2596896 is a wasteful number, since it uses less digits than its factorization.

2596896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

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

The square root of 2596896 is about 1611.4887526756. The cubic root of 2596896 is about 137.4521442277.

The spelling of 2596896 in words is "two million, five hundred ninety-six thousand, eight hundred ninety-six".