2116806912 has 216 divisors, whose sum is σ = 6883292640. Its totient is φ = 641203200.

The previous prime is 2116806899. The next prime is 2116806919. The reversal of 2116806912 is 2196086112.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (2116806919) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 835087 + ... + 837617.

Almost surely, 2^2116806912 is an apocalyptic number.

2116806912 is a gapful number since it is divisible by the number (22) 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 2116806912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441646320).

2116806912 is an abundant number, since it is smaller than the sum of its proper divisors (4766485728).

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

2116806912 is a wasteful number, since it uses less digits than its factorization.

2116806912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2116806912 is about 46008.7699466091. The cubic root of 2116806912 is about 1283.9863742112.

The spelling of 2116806912 in words is "two billion, one hundred sixteen million, eight hundred six thousand, nine hundred twelve".