2186820 has 36 divisors (see below), whose sum is σ = 6633900. Its totient is φ = 583104.

The previous prime is 2186809. The next prime is 2186827. The reversal of 2186820 is 286812.

It can be written as a sum of positive squares in 2 ways, for example, as 1633284 + 553536 = 1278^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2186827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5895 + ... + 6254.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

2^2186820 is an apocalyptic number.

2186820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2186820 is an abundant number, since it is smaller than the sum of its proper divisors (4447080).

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

2186820 is a wasteful number, since it uses less digits than its factorization.

2186820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12164 (or 12159 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2186820 is about 1478.7900459497. The cubic root of 2186820 is about 129.7989001199.

The spelling of 2186820 in words is "two million, one hundred eighty-six thousand, eight hundred twenty".