2166018800 has 120 divisors (see below), whose sum is σ = 5693302272. Its totient is φ = 785376000.

The previous prime is 2166018793. The next prime is 2166018809. The reversal of 2166018800 is 88106612.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166018809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2670395 + ... + 2671205.

Almost surely, 2^2166018800 is an apocalyptic number.

2166018800 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 2166018800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846651136).

2166018800 is an abundant number, since it is smaller than the sum of its proper divisors (3527283472).

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

2166018800 is a wasteful number, since it uses less digits than its factorization.

2166018800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 2166018800 is about 46540.5070879121. The cubic root of 2166018800 is about 1293.8603590115.

The spelling of 2166018800 in words is "two billion, one hundred sixty-six million, eighteen thousand, eight hundred".