2244864000 has 384 divisors, whose sum is σ = 7768051200. Its totient is φ = 575078400.

The previous prime is 2244863993. The next prime is 2244864019. The reversal of 2244864000 is 4684422.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 28415961 + ... + 28416039.

It is an arithmetic number, because the mean of its divisors is an integer number (20229300).

Almost surely, 2^2244864000 is an apocalyptic number.

2244864000 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 2244864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884025600).

2244864000 is an abundant number, since it is smaller than the sum of its proper divisors (5523187200).

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

2244864000 is an equidigital number, since it uses as much as digits as its factorization.

2244864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2244864000 is about 47379.9957788094. The cubic root of 2244864000 is about 1309.3728909956.

The spelling of 2244864000 in words is "two billion, two hundred forty-four million, eight hundred sixty-four thousand".