2263447200 has 432 divisors, whose sum is σ = 9030359520. Its totient is φ = 489646080.

The previous prime is 2263447183. The next prime is 2263447211. The reversal of 2263447200 is 27443622.

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

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, 2233894 + ... + 2234906.

It is an arithmetic number, because the mean of its divisors is an integer number (20903610).

Almost surely, 2^2263447200 is an apocalyptic number.

2263447200 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 2263447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515179760).

2263447200 is an abundant number, since it is smaller than the sum of its proper divisors (6766912320).

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

2263447200 is a wasteful number, since it uses less digits than its factorization.

2263447200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 2263447200 is about 47575.6996795633. The cubic root of 2263447200 is about 1312.9760051239.

The spelling of 2263447200 in words is "two billion, two hundred sixty-three million, four hundred forty-seven thousand, two hundred".