2200816800 has 432 divisors, whose sum is σ = 9554388480. Its totient is φ = 464209920.

The previous prime is 2200816777. The next prime is 2200816843. The reversal of 2200816800 is 86180022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 653521 + ... + 656879.

It is an arithmetic number, because the mean of its divisors is an integer number (22116640).

Almost surely, 2^2200816800 is an apocalyptic number.

2200816800 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 2200816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777194240).

2200816800 is an abundant number, since it is smaller than the sum of its proper divisors (7353571680).

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

2200816800 is a wasteful number, since it uses less digits than its factorization.

2200816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2200816800 is about 46912.8639074615. The cubic root of 2200816800 is about 1300.7523849802.

Adding to 2200816800 its reverse (86180022), we get a palindrome (2286996822).

The spelling of 2200816800 in words is "two billion, two hundred million, eight hundred sixteen thousand, eight hundred".