2221824 has 72 divisors (see below), whose sum is σ = 6475392. Its totient is φ = 670720.

The previous prime is 2221789. The next prime is 2221829. The reversal of 2221824 is 4281222.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2221824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8317 + ... + 8579.

It is an arithmetic number, because the mean of its divisors is an integer number (89936).

2^2221824 is an apocalyptic number.

2221824 is a gapful number since it is divisible by the number (24) 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 2221824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237696).

2221824 is an abundant number, since it is smaller than the sum of its proper divisors (4253568).

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

2221824 is a wasteful number, since it uses less digits than its factorization.

2221824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 2221824 is about 1490.5784112216. The cubic root of 2221824 is about 130.4877926368.

The spelling of 2221824 in words is "two million, two hundred twenty-one thousand, eight hundred twenty-four".