2166116940 has 216 divisors, whose sum is σ = 7347570048. Its totient is φ = 515773440.

The previous prime is 2166116929. The next prime is 2166116941. The reversal of 2166116940 is 496116612.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2166116895 and 2166116904.

It is not an unprimeable number, because it can be changed into a prime (2166116941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 941872 + ... + 944168.

It is an arithmetic number, because the mean of its divisors is an integer number (34016528).

Almost surely, 2^2166116940 is an apocalyptic number.

2166116940 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 2166116940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673785024).

2166116940 is an abundant number, since it is smaller than the sum of its proper divisors (5181453108).

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

2166116940 is a wasteful number, since it uses less digits than its factorization.

2166116940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2166116940 is about 46541.5614263209. The cubic root of 2166116940 is about 1293.8798998603.

The spelling of 2166116940 in words is "two billion, one hundred sixty-six million, one hundred sixteen thousand, nine hundred forty".