2205894900 has 144 divisors (see below), whose sum is σ = 7187539968. Its totient is φ = 517488000.

The previous prime is 2205894863. The next prime is 2205894913. The reversal of 2205894900 is 94985022.

2205894900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 91519 + ... + 113081.

It is an arithmetic number, because the mean of its divisors is an integer number (49913472).

Almost surely, 2^2205894900 is an apocalyptic number.

2205894900 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 2205894900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593769984).

2205894900 is an abundant number, since it is smaller than the sum of its proper divisors (4981645068).

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

2205894900 is a wasteful number, since it uses less digits than its factorization.

2205894900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21622 (or 21615 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 2205894900 is about 46966.9554048376. The cubic root of 2205894900 is about 1301.7520557779.

The spelling of 2205894900 in words is "two billion, two hundred five million, eight hundred ninety-four thousand, nine hundred".