2228146800 has 240 divisors, whose sum is σ = 7921100160. Its totient is φ = 530816000.

The previous prime is 2228146733. The next prime is 2228146847. The reversal of 2228146800 is 86418222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 777370 + ... + 780230.

It is an arithmetic number, because the mean of its divisors is an integer number (33004584).

Almost surely, 2^2228146800 is an apocalyptic number.

2228146800 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 2228146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960550080).

2228146800 is an abundant number, since it is smaller than the sum of its proper divisors (5692953360).

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

2228146800 is a wasteful number, since it uses less digits than its factorization.

2228146800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2228146800 is about 47203.2498881168. The cubic root of 2228146800 is about 1306.1145481977.

The spelling of 2228146800 in words is "two billion, two hundred twenty-eight million, one hundred forty-six thousand, eight hundred".