2164834036112 has 80 divisors (see below), whose sum is σ = 4687411861440. Its totient is φ = 960037478400.

The previous prime is 2164834036073. The next prime is 2164834036199. The reversal of 2164834036112 is 2116304384612.

It is a self number, because there is not a number n which added to its sum of digits gives 2164834036112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6505064 + ... + 6829752.

It is an arithmetic number, because the mean of its divisors is an integer number (58592648268).

Almost surely, 2^{2164834036112} is an apocalyptic number.

2164834036112 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 2164834036112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343705930720).

2164834036112 is an abundant number, since it is smaller than the sum of its proper divisors (2522577825328).

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

2164834036112 is a wasteful number, since it uses less digits than its factorization.

2164834036112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325632 (or 325626 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 2164834036112 in words is "two trillion, one hundred sixty-four billion, eight hundred thirty-four million, thirty-six thousand, one hundred twelve".