2225932800 has 720 divisors, whose sum is σ = 9285566400. Its totient is φ = 469647360.

The previous prime is 2225932799. The next prime is 2225932823. The reversal of 2225932800 is 82395222.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171225594 + ... + 171225606.

It is an arithmetic number, because the mean of its divisors is an integer number (12896620).

Almost surely, 2^2225932800 is an apocalyptic number.

2225932800 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 2225932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642783200).

2225932800 is an abundant number, since it is smaller than the sum of its proper divisors (7059633600).

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

2225932800 is an equidigital number, since it uses as much as digits as its factorization.

2225932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2225932800 is about 47179.7922844092. The cubic root of 2225932800 is about 1305.6817975472.

The spelling of 2225932800 in words is "two billion, two hundred twenty-five million, nine hundred thirty-two thousand, eight hundred".