2592896 has 32 divisors (see below), whose sum is σ = 5287680. Its totient is φ = 1265920.

The previous prime is 2592869. The next prime is 2592899. The reversal of 2592896 is 6982952.

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (77760) is a multiple of the sum of its prime divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2592899) 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 3 ways as a sum of consecutive naturals, for example, 5801 + ... + 6231.

It is an arithmetic number, because the mean of its divisors is an integer number (165240).

2^2592896 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 2592896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643840).

2592896 is an abundant number, since it is smaller than the sum of its proper divisors (2694784).

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

2592896 is an equidigital number, since it uses as much as digits as its factorization.

2592896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The square root of 2592896 is about 1610.2471859935. The cubic root of 2592896 is about 137.3815354305.

The spelling of 2592896 in words is "two million, five hundred ninety-two thousand, eight hundred ninety-six".