2166580 has 36 divisors (see below), whose sum is σ = 4934412. Its totient is φ = 798720.

The previous prime is 2166557. The next prime is 2166581. The reversal of 2166580 is 856612.

It can be written as a sum of positive squares in 6 ways, for example, as 110224 + 2056356 = 332^2 + 1434^2 .

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166581) 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, 3060 + ... + 3700.

It is an arithmetic number, because the mean of its divisors is an integer number (137067).

2^2166580 is an apocalyptic number.

2166580 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 2166580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467206).

2166580 is an abundant number, since it is smaller than the sum of its proper divisors (2767832).

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

2166580 is a wasteful number, since it uses less digits than its factorization.

2166580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2166580 is about 1471.9307048907. The cubic root of 2166580 is about 129.3972092688.

The spelling of 2166580 in words is "two million, one hundred sixty-six thousand, five hundred eighty".