2646180 has 72 divisors (see below), whose sum is σ = 8192184. Its totient is φ = 691200.

The previous prime is 2646179. The next prime is 2646211. The reversal of 2646180 is 816462.

2646180 is a `hidden beast` number, since 2 + 646 + 18 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60516 + 2585664 = 246^2 + 1608^2 .

It is a nialpdrome in base 12.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10860 + ... + 11100.

2^2646180 is an apocalyptic number.

2646180 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 2646180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096092).

2646180 is an abundant number, since it is smaller than the sum of its proper divisors (5546004).

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

2646180 is a wasteful number, since it uses less digits than its factorization.

2646180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2646180 is about 1626.7083327997. The cubic root of 2646180 is about 138.3162250419.

Subtracting from 2646180 its product of nonzero digits (2304), we obtain a square (2643876 = 1626²).

The spelling of 2646180 in words is "two million, six hundred forty-six thousand, one hundred eighty".