2205280 has 96 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 683520.

The previous prime is 2205251. The next prime is 2205283. The reversal of 2205280 is 825022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12231 + ... + 12409.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

2^2205280 is an apocalyptic number.

2205280 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 2205280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2205280 is an abundant number, since it is smaller than the sum of its proper divisors (4326560).

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

2205280 is a wasteful number, since it uses less digits than its factorization.

2205280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2205280 is about 1485.0185184031. The cubic root of 2205280 is about 130.1631088738.

It can be divided in two parts, 2205 and 280, that added together give a triangular number (2485 = T₇₀).

The spelling of 2205280 in words is "two million, two hundred five thousand, two hundred eighty".