2224404400 has 120 divisors (see below), whose sum is σ = 5558885280. Its totient is φ = 854353920.

The previous prime is 2224404397. The next prime is 2224404401. The reversal of 2224404400 is 44044222.

It is not an unprimeable number, because it can be changed into a prime (2224404401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2702389 + ... + 2703211.

It is an arithmetic number, because the mean of its divisors is an integer number (46324044).

Almost surely, 2^2224404400 is an apocalyptic number.

2224404400 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 2224404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779442640).

2224404400 is an abundant number, since it is smaller than the sum of its proper divisors (3334480880).

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

2224404400 is a wasteful number, since it uses less digits than its factorization.

2224404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2224404400 is about 47163.5918903554. The cubic root of 2224404400 is about 1305.3828875078.

Adding to 2224404400 its reverse (44044222), we get a palindrome (2268448622).

The spelling of 2224404400 in words is "two billion, two hundred twenty-four million, four hundred four thousand, four hundred".