2321824 has 36 divisors (see below), whose sum is σ = 4786614. Its totient is φ = 1108224.

The previous prime is 2321821. The next prime is 2321863. The reversal of 2321824 is 4281232.

It can be written as a sum of positive squares in 3 ways, for example, as 2250000 + 71824 = 1500^2 + 268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2321795 and 2321804.

It is not an unprimeable number, because it can be changed into a prime (2321821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43782 + ... + 43834.

2^2321824 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 2321824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393307).

2321824 is an abundant number, since it is smaller than the sum of its proper divisors (2464790).

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

2321824 is an equidigital number, since it uses as much as digits as its factorization.

2321824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 92 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 2321824 is about 1523.7532608661. The cubic root of 2321824 is about 132.4168031174.

The spelling of 2321824 in words is "two million, three hundred twenty-one thousand, eight hundred twenty-four".