2218444800 has 576 divisors, whose sum is σ = 8701318080. Its totient is φ = 491520000.

The previous prime is 2218444751. The next prime is 2218444831. The reversal of 2218444800 is 84448122.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21964750 + ... + 21964850.

It is an arithmetic number, because the mean of its divisors is an integer number (15106455).

Almost surely, 2^2218444800 is an apocalyptic number.

2218444800 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 2218444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350659040).

2218444800 is an abundant number, since it is smaller than the sum of its proper divisors (6482873280).

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

2218444800 is a wasteful number, since it uses less digits than its factorization.

2218444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 2218444800 is about 47100.3694253028. The cubic root of 2218444800 is about 1304.2160556353.

The spelling of 2218444800 in words is "two billion, two hundred eighteen million, four hundred forty-four thousand, eight hundred".