2116832940 has 240 divisors, whose sum is σ = 7072111200. Its totient is φ = 528519168.

The previous prime is 2116832917. The next prime is 2116832941. The reversal of 2116832940 is 492386112.

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 = 2116832895 and 2116832904.

It is not an unprimeable number, because it can be changed into a prime (2116832941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2985306 + ... + 2986014.

It is an arithmetic number, because the mean of its divisors is an integer number (29467130).

Almost surely, 2^2116832940 is an apocalyptic number.

2116832940 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 2116832940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536055600).

2116832940 is an abundant number, since it is smaller than the sum of its proper divisors (4955278260).

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

2116832940 is a wasteful number, since it uses less digits than its factorization.

2116832940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 835 counting only the distinct ones).

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

The square root of 2116832940 is about 46009.0528048557. The cubic root of 2116832940 is about 1283.9916367697.

The spelling of 2116832940 in words is "two billion, one hundred sixteen million, eight hundred thirty-two thousand, nine hundred forty".