2205900 has 144 divisors (see below), whose sum is σ = 7638400. Its totient is φ = 544320.

The previous prime is 2205893. The next prime is 2205911. The reversal of 2205900 is 95022.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 51279 + ... + 51321.

2^2205900 is an apocalyptic number.

2205900 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 2205900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819200).

2205900 is an abundant number, since it is smaller than the sum of its proper divisors (5432500).

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

2205900 is a wasteful number, since it uses less digits than its factorization.

2205900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2205900 is about 1485.2272553384. The cubic root of 2205900 is about 130.1753058988.

The spelling of 2205900 in words is "two million, two hundred five thousand, nine hundred".