2582912 has 32 divisors (see below), whose sum is σ = 5452920. Its totient is φ = 1214464.

The previous prime is 2582911. The next prime is 2582939. The reversal of 2582912 is 2192852.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1583 + ... + 2769.

2^2582912 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 2582912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726460).

2582912 is an abundant number, since it is smaller than the sum of its proper divisors (2870008).

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

2582912 is a wasteful number, since it uses less digits than its factorization.

2582912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1206 counting only the distinct ones).

The product of its digits is 2880, while the sum is 29.

The square root of 2582912 is about 1607.1440507932. The cubic root of 2582912 is about 137.2049784705.

The spelling of 2582912 in words is "two million, five hundred eighty-two thousand, nine hundred twelve".