2824032 has 48 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 899712.

The previous prime is 2824021. The next prime is 2824043. The reversal of 2824032 is 2304282.

It is an interprime number because it is at equal distance from previous prime (2824021) and next prime (2824043).

It is a tau number, because it is divible by the number of its divisors (48).

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, 1569 + ... + 2847.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

2^2824032 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 2824032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

2824032 is an abundant number, since it is smaller than the sum of its proper divisors (4917408).

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

2824032 is a wasteful number, since it uses less digits than its factorization.

2824032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2824032 is about 1680.4856440922. The cubic root of 2824032 is about 141.3480661830.

The spelling of 2824032 in words is "two million, eight hundred twenty-four thousand, thirty-two".