2205680 has 40 divisors (see below), whose sum is σ = 5208000. Its totient is φ = 868608.

The previous prime is 2205667. The next prime is 2205703. The reversal of 2205680 is 865022.

It is a happy number.

2205680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6146 + ... + 6494.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

2^2205680 is an apocalyptic number.

2205680 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 2205680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604000).

2205680 is an abundant number, since it is smaller than the sum of its proper divisors (3002320).

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

2205680 is a wasteful number, since it uses less digits than its factorization.

2205680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2205680 is about 1485.1531907517. The cubic root of 2205680 is about 130.1709781839.

The spelling of 2205680 in words is "two million, two hundred five thousand, six hundred eighty".