2205808200 has 324 divisors, whose sum is σ = 7884559995. Its totient is φ = 573868800.

The previous prime is 2205808181. The next prime is 2205808207. The reversal of 2205808200 is 28085022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2205808200 is a `hidden beast` number, since 2 + 2 + 0 + 580 + 82 + 0 + 0 = 666.

2205808200 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 can be written as a sum of positive squares in 5 ways, for example, as 13883076 + 2191925124 = 3726^2 + 46818^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33210.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2205808207) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 53800180 + ... + 53800220.

Almost surely, 2^2205808200 is an apocalyptic number.

2205808200 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 2205808200

2205808200 is an abundant number, since it is smaller than the sum of its proper divisors (5678751795).

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

2205808200 is an frugal number, since it uses more digits than its factorization.

2205808200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2205808200 is about 46966.0324064105. The cubic root of 2205808200 is about 1301.7350009638.

The spelling of 2205808200 in words is "two billion, two hundred five million, eight hundred eight thousand, two hundred".