2229724800 has 384 divisors, whose sum is σ = 8264203200. Its totient is φ = 587059200.

The previous prime is 2229724789. The next prime is 2229724823. The reversal of 2229724800 is 84279222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11318302 + ... + 11318498.

Almost surely, 2^2229724800 is an apocalyptic number.

2229724800 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 2229724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132101600).

2229724800 is an abundant number, since it is smaller than the sum of its proper divisors (6034478400).

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

2229724800 is a wasteful number, since it uses less digits than its factorization.

2229724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2229724800 is about 47219.9618805437. The cubic root of 2229724800 is about 1306.4228107107.

The spelling of 2229724800 in words is "two billion, two hundred twenty-nine million, seven hundred twenty-four thousand, eight hundred".