2208820 has 12 divisors (see below), whose sum is σ = 4638564. Its totient is φ = 883520.

The previous prime is 2208809. The next prime is 2208823. The reversal of 2208820 is 288022.

It can be written as a sum of positive squares in 2 ways, for example, as 580644 + 1628176 = 762^2 + 1276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2208791 and 2208800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2208823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55201 + ... + 55240.

It is an arithmetic number, because the mean of its divisors is an integer number (386547).

2^2208820 is an apocalyptic number.

2208820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2208820 is an abundant number, since it is smaller than the sum of its proper divisors (2429744).

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

2208820 is a wasteful number, since it uses less digits than its factorization.

2208820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110450 (or 110448 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2208820 is about 1486.2099447925. The cubic root of 2208820 is about 130.2327192442.

The spelling of 2208820 in words is "two million, two hundred eight thousand, eight hundred twenty".