2164143564 has 108 divisors (see below), whose sum is σ = 6073769520. Its totient is φ = 649176000.

The previous prime is 2164143563. The next prime is 2164143671. The reversal of 2164143564 is 4653414612.

2164143564 is a `hidden beast` number, since 2 + 1 + 641 + 4 + 3 + 5 + 6 + 4 = 666.

2164143564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (2164143563) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 437497 + ... + 442415.

Almost surely, 2^2164143564 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 2164143564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036884760).

2164143564 is an abundant number, since it is smaller than the sum of its proper divisors (3909625956).

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

2164143564 is a wasteful number, since it uses less digits than its factorization.

2164143564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052 (or 5036 counting only the distinct ones).

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

The square root of 2164143564 is about 46520.3564474736. The cubic root of 2164143564 is about 1293.4868636305.

The spelling of 2164143564 in words is "two billion, one hundred sixty-four million, one hundred forty-three thousand, five hundred sixty-four".