2243916800 has 264 divisors, whose sum is σ = 6018769536. Its totient is φ = 827228160.

The previous prime is 2243916799. The next prime is 2243916863. The reversal of 2243916800 is 86193422.

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, 21785549 + ... + 21785651.

Almost surely, 2^2243916800 is an apocalyptic number.

2243916800 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 2243916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009384768).

2243916800 is an abundant number, since it is smaller than the sum of its proper divisors (3774852736).

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

2243916800 is a wasteful number, since it uses less digits than its factorization.

2243916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 2243916800 is about 47369.9989444796. The cubic root of 2243916800 is about 1309.1887057503.

The spelling of 2243916800 in words is "two billion, two hundred forty-three million, nine hundred sixteen thousand, eight hundred".