2164593312 has 144 divisors (see below), whose sum is σ = 7055979840. Its totient is φ = 616605696.

The previous prime is 2164593293. The next prime is 2164593313. The reversal of 2164593312 is 2133954612.

2164593312 is a `hidden beast` number, since 2 + 1 + 64 + 593 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (2164593313) 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, 762648 + ... + 765480.

It is an arithmetic number, because the mean of its divisors is an integer number (48999860).

Almost surely, 2^2164593312 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 2164593312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527989920).

2164593312 is an abundant number, since it is smaller than the sum of its proper divisors (4891386528).

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

2164593312 is a wasteful number, since it uses less digits than its factorization.

2164593312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3224 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 2164593312 is about 46525.1900802135. The cubic root of 2164593312 is about 1293.5764607110.

The spelling of 2164593312 in words is "two billion, one hundred sixty-four million, five hundred ninety-three thousand, three hundred twelve".