2208800 has 72 divisors (see below), whose sum is σ = 5905872. Its totient is φ = 800000.

The previous prime is 2208799. The next prime is 2208803. The reversal of 2208800 is 88022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2208803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8675 + ... + 8925.

It is an arithmetic number, because the mean of its divisors is an integer number (82026).

2^2208800 is an apocalyptic number.

2208800 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 2208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952936).

2208800 is an abundant number, since it is smaller than the sum of its proper divisors (3697072).

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

2208800 is a wasteful number, since it uses less digits than its factorization.

2208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2208800 is about 1486.2032162527. The cubic root of 2208800 is about 130.2323261742.

It can be divided in two parts, 2 and 208800, that added together give a palindrome (208802).

The spelling of 2208800 in words is "two million, two hundred eight thousand, eight hundred".