2226624400 has 480 divisors, whose sum is σ = 7377527808. Its totient is φ = 623462400.

The previous prime is 2226624377. The next prime is 2226624403. The reversal of 2226624400 is 44266222.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2226624403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26826759 + ... + 26826841.

Almost surely, 2^2226624400 is an apocalyptic number.

2226624400 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 2226624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688763904).

2226624400 is an abundant number, since it is smaller than the sum of its proper divisors (5150903408).

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

2226624400 is a wasteful number, since it uses less digits than its factorization.

2226624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2226624400 is about 47187.1211243068. The cubic root of 2226624400 is about 1305.8170091800.

It can be divided in two parts, 2226 and 624400, that added together give a palindrome (626626).

The spelling of 2226624400 in words is "two billion, two hundred twenty-six million, six hundred twenty-four thousand, four hundred".