2189810327166 has 768 divisors, whose sum is σ = 6582850560000. Its totient is φ = 509169991680.

The previous prime is 2189810327161. The next prime is 2189810327207. The reversal of 2189810327166 is 6617230189812.

2189810327166 is a `hidden beast` number, since 2 + 1 + 89 + 81 + 0 + 327 + 166 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189810327161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4877082910 + ... + 4877083358.

It is an arithmetic number, because the mean of its divisors is an integer number (8571420000).

Almost surely, 2^{2189810327166} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2189810327166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291425280000).

2189810327166 is an abundant number, since it is smaller than the sum of its proper divisors (4393040232834).

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

2189810327166 is a wasteful number, since it uses less digits than its factorization.

2189810327166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 2189810327166 in words is "two trillion, one hundred eighty-nine billion, eight hundred ten million, three hundred twenty-seven thousand, one hundred sixty-six".