2243656800 has 1152 divisors, whose sum is σ = 10799308800. Its totient is φ = 435456000.

The previous prime is 2243656741. The next prime is 2243656823. The reversal of 2243656800 is 86563422.

2243656800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31600765 + ... + 31600835.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400).

Almost surely, 2^2243656800 is an apocalyptic number.

2243656800 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 2243656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399654400).

2243656800 is an abundant number, since it is smaller than the sum of its proper divisors (8555652000).

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

2243656800 is a wasteful number, since it uses less digits than its factorization.

2243656800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2243656800 is about 47367.2545119516. The cubic root of 2243656800 is about 1309.1381390788.

The spelling of 2243656800 in words is "two billion, two hundred forty-three million, six hundred fifty-six thousand, eight hundred".