2180872 has 32 divisors (see below), whose sum is σ = 4296600. Its totient is φ = 1036800.

The previous prime is 2180863. The next prime is 2180873. The reversal of 2180872 is 2780812.

It can be written as a sum of positive squares in 4 ways, for example, as 894916 + 1285956 = 946^2 + 1134^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2180872.

It is not an unprimeable number, because it can be changed into a prime (2180873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19954 + ... + 20062.

2^2180872 is an apocalyptic number.

It is an amenable number.

2180872 is a deficient number, since it is larger than the sum of its proper divisors (2115728).

2180872 is a wasteful number, since it uses less digits than its factorization.

2180872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 2180872 is about 1476.7775729608. Note that the first 3 decimals coincide. The cubic root of 2180872 is about 129.6811119029.

It can be divided in two parts, 218087 and 2, that added together give a square (218089 = 467²).

The spelling of 2180872 in words is "two million, one hundred eighty thousand, eight hundred seventy-two".