2205760 has 56 divisors (see below), whose sum is σ = 5385816. Its totient is φ = 860160.

The previous prime is 2205719. The next prime is 2205761. The reversal of 2205760 is 675022.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 2005056 = 448^2 + 1416^2 .

It is not an unprimeable number, because it can be changed into a prime (2205761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19464 + ... + 19576.

2^2205760 is an apocalyptic number.

2205760 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 2205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692908).

2205760 is an abundant number, since it is smaller than the sum of its proper divisors (3180056).

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

2205760 is a wasteful number, since it uses less digits than its factorization.

2205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 2205760 is about 1485.1801237560. The cubic root of 2205760 is about 130.1725519317.

The spelling of 2205760 in words is "two million, two hundred five thousand, seven hundred sixty".