2205360 has 80 divisors (see below), whose sum is σ = 7603680. Its totient is φ = 587520.

The previous prime is 2205353. The next prime is 2205373. The reversal of 2205360 is 635022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2205360² = 9727225459200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1650 + ... + 2670.

It is an arithmetic number, because the mean of its divisors is an integer number (95046).

2^2205360 is an apocalyptic number.

2205360 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 2205360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801840).

2205360 is an abundant number, since it is smaller than the sum of its proper divisors (5398320).

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

2205360 is a wasteful number, since it uses less digits than its factorization.

2205360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2205360 is about 1485.0454538498. The cubic root of 2205360 is about 130.1646828120.

The spelling of 2205360 in words is "two million, two hundred five thousand, three hundred sixty".