2228228800 has 336 divisors, whose sum is σ = 6798096640. Its totient is φ = 701706240.

The previous prime is 2228228791. The next prime is 2228228803. The reversal of 2228228800 is 88228222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228228803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7873459 + ... + 7873741.

Almost surely, 2^2228228800 is an apocalyptic number.

2228228800 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 2228228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399048320).

2228228800 is an abundant number, since it is smaller than the sum of its proper divisors (4569867840).

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

2228228800 is a wasteful number, since it uses less digits than its factorization.

2228228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 2228228800 is about 47204.1184643883. The cubic root of 2228228800 is about 1306.1305704932.

The spelling of 2228228800 in words is "two billion, two hundred twenty-eight million, two hundred twenty-eight thousand, eight hundred".