2225576800 has 144 divisors (see below), whose sum is σ = 5741632512. Its totient is φ = 841075200.

The previous prime is 2225576791. The next prime is 2225576833. The reversal of 2225576800 is 86755222.

It is a self number, because there is not a number n which added to its sum of digits gives 2225576800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1065357 + ... + 1067443.

It is an arithmetic number, because the mean of its divisors is an integer number (39872448).

Almost surely, 2^2225576800 is an apocalyptic number.

2225576800 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 2225576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870816256).

2225576800 is an abundant number, since it is smaller than the sum of its proper divisors (3516055712).

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

2225576800 is a wasteful number, since it uses less digits than its factorization.

2225576800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 2225576800 is about 47176.0193318597. The cubic root of 2225576800 is about 1305.6121866554.

The spelling of 2225576800 in words is "two billion, two hundred twenty-five million, five hundred seventy-six thousand, eight hundred".