2205600 has 72 divisors (see below), whose sum is σ = 7187040. Its totient is φ = 587520.

The previous prime is 2205589. The next prime is 2205611. The reversal of 2205600 is 65022.

It is an interprime number because it is at equal distance from previous prime (2205589) and next prime (2205611).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2205600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1941 + ... + 2859.

It is an arithmetic number, because the mean of its divisors is an integer number (99820).

2^2205600 is an apocalyptic number.

2205600 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 2205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593520).

2205600 is an abundant number, since it is smaller than the sum of its proper divisors (4981440).

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

2205600 is a wasteful number, since it uses less digits than its factorization.

2205600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2205600 is about 1485.1262572590. The cubic root of 2205600 is about 130.1694043980.

The spelling of 2205600 in words is "two million, two hundred five thousand, six hundred".