2164064256 has 136 divisors (see below), whose sum is σ = 6417236160. Its totient is φ = 720764928.

The previous prime is 2164064239. The next prime is 2164064257. The reversal of 2164064256 is 6524604612.

2164064256 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 0 + 642 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2164064256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164064257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1768861 + ... + 1770083.

It is an arithmetic number, because the mean of its divisors is an integer number (47185560).

Almost surely, 2^2164064256 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 2164064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208618080).

2164064256 is an abundant number, since it is smaller than the sum of its proper divisors (4253171904).

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

2164064256 is an frugal number, since it uses more digits than its factorization.

2164064256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2164064256 is about 46519.5040386288. The cubic root of 2164064256 is about 1293.4710629059.

Adding to 2164064256 its reverse (6524604612), we get a palindrome (8688668868).

The spelling of 2164064256 in words is "two billion, one hundred sixty-four million, sixty-four thousand, two hundred fifty-six".