2824320 has 64 divisors (see below), whose sum is σ = 9008640. Its totient is φ = 752640.

The previous prime is 2824319. The next prime is 2824333. The reversal of 2824320 is 234282.

2824320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1185 + ... + 2655.

It is an arithmetic number, because the mean of its divisors is an integer number (140760).

2^2824320 is an apocalyptic number.

2824320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504320).

2824320 is an abundant number, since it is smaller than the sum of its proper divisors (6184320).

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

2824320 is a wasteful number, since it uses less digits than its factorization.

2824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1481 counting only the distinct ones).

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

The square root of 2824320 is about 1680.5713314227. The cubic root of 2824320 is about 141.3528709986.

The spelling of 2824320 in words is "two million, eight hundred twenty-four thousand, three hundred twenty".