2166831216 has 120 divisors (see below), whose sum is σ = 6836593680. Its totient is φ = 656599680.

The previous prime is 2166831167. The next prime is 2166831221. The reversal of 2166831216 is 6121386612.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31546 + ... + 72998.

It is an arithmetic number, because the mean of its divisors is an integer number (56971614).

Almost surely, 2^2166831216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166831216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418296840).

2166831216 is an abundant number, since it is smaller than the sum of its proper divisors (4669762464).

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

2166831216 is a wasteful number, since it uses less digits than its factorization.

2166831216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41492 (or 41469 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2166831216 is about 46549.2343223817. The cubic root of 2166831216 is about 1294.0221029854.

The spelling of 2166831216 in words is "two billion, one hundred sixty-six million, eight hundred thirty-one thousand, two hundred sixteen".