2112580 has 24 divisors (see below), whose sum is σ = 4522392. Its totient is φ = 828672.

The previous prime is 2112571. The next prime is 2112581. The reversal of 2112580 is 852112.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 1522756 = 768^2 + 1234^2 .

It is not an unprimeable number, because it can be changed into a prime (2112581) 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, 64 + ... + 2056.

It is an arithmetic number, because the mean of its divisors is an integer number (188433).

2^2112580 is an apocalyptic number.

2112580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112580 is an abundant number, since it is smaller than the sum of its proper divisors (2409812).

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

2112580 is a wasteful number, since it uses less digits than its factorization.

2112580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 2112580 is about 1453.4717059510. The cubic root of 2112580 is about 128.3131168844.

Adding to 2112580 its reverse (852112), we get a palindrome (2964692).

It can be divided in two parts, 21125 and 80, that multiplied together give a square (1690000 = 1300²).

The spelling of 2112580 in words is "two million, one hundred twelve thousand, five hundred eighty".