2205604200 has 96 divisors (see below), whose sum is σ = 6850008000. Its totient is φ = 587074560.

The previous prime is 2205604187. The next prime is 2205604207. The reversal of 2205604200 is 24065022.

2205604200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2205604207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352701 + ... + 358899.

It is an arithmetic number, because the mean of its divisors is an integer number (71354250).

Almost surely, 2^2205604200 is an apocalyptic number.

2205604200 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 2205604200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425004000).

2205604200 is an abundant number, since it is smaller than the sum of its proper divisors (4644403800).

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

2205604200 is a wasteful number, since it uses less digits than its factorization.

2205604200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6811 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2205604200 is about 46963.8605738498. The cubic root of 2205604200 is about 1301.6948702267.

Adding to 2205604200 its reverse (24065022), we get a palindrome (2229669222).

The spelling of 2205604200 in words is "two billion, two hundred five million, six hundred four thousand, two hundred".