2205120 has 56 divisors (see below), whose sum is σ = 7004304. Its totient is φ = 587776.

The previous prime is 2205113. The next prime is 2205139. The reversal of 2205120 is 215022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2205096 and 2205105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189 + ... + 2108.

2^2205120 is an apocalyptic number.

2205120 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 2205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502152).

2205120 is an abundant number, since it is smaller than the sum of its proper divisors (4799184).

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

2205120 is a wasteful number, since it uses less digits than its factorization.

2205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2205120 is about 1484.9646460438. The cubic root of 2205120 is about 130.1599608834.

The spelling of 2205120 in words is "two million, two hundred five thousand, one hundred twenty".