2582096 has 40 divisors (see below), whose sum is σ = 5785344. Its totient is φ = 1103360.

The previous prime is 2582093. The next prime is 2582143. The reversal of 2582096 is 6902852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582093) 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, 2561 + ... + 3423.

2^2582096 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 2582096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892672).

2582096 is an abundant number, since it is smaller than the sum of its proper divisors (3203248).

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

2582096 is a wasteful number, since it uses less digits than its factorization.

2582096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2582096 is about 1606.8901642614. The cubic root of 2582096 is about 137.1905282357.

Adding to 2582096 its sum of digits (32), we get a triangular number (2582128 = T₂₂₇₂).

The spelling of 2582096 in words is "two million, five hundred eighty-two thousand, ninety-six".