2225344800 has 432 divisors, whose sum is σ = 8549452800. Its totient is φ = 501258240.

The previous prime is 2225344799. The next prime is 2225344801. The reversal of 2225344800 is 84435222.

It is an interprime number because it is at equal distance from previous prime (2225344799) and next prime (2225344801).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2225344801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14935126 + ... + 14935274.

It is an arithmetic number, because the mean of its divisors is an integer number (19790400).

Almost surely, 2^2225344800 is an apocalyptic number.

2225344800 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 2225344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274726400).

2225344800 is an abundant number, since it is smaller than the sum of its proper divisors (6324108000).

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

2225344800 is a wasteful number, since it uses less digits than its factorization.

2225344800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2225344800 is about 47173.5603913887. The cubic root of 2225344800 is about 1305.5668182587.

The spelling of 2225344800 in words is "two billion, two hundred twenty-five million, three hundred forty-four thousand, eight hundred".