2609824 has 48 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 1094400.

The previous prime is 2609813. The next prime is 2609899. The reversal of 2609824 is 4289062.

2609824 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2609824² = 13622362621952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13569 + ... + 13759.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

2^2609824 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 2609824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).

2609824 is an abundant number, since it is smaller than the sum of its proper divisors (3389792).

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

2609824 is a wasteful number, since it uses less digits than its factorization.

2609824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2609824 is about 1615.4949705895. The cubic root of 2609824 is about 137.6798571968.

The spelling of 2609824 in words is "two million, six hundred nine thousand, eight hundred twenty-four".