2163830004 has 288 divisors, whose sum is σ = 6884760960. Its totient is φ = 585252864.

The previous prime is 2163829999. The next prime is 2163830017. The reversal of 2163830004 is 4000383612.

It is a happy number.

2163830004 is a `hidden beast` number, since 21 + 638 + 3 + 0 + 0 + 0 + 4 = 666.

2163830004 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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2163830004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8419444 + ... + 8419700.

It is an arithmetic number, because the mean of its divisors is an integer number (23905420).

Almost surely, 2^2163830004 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 2163830004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442380480).

2163830004 is an abundant number, since it is smaller than the sum of its proper divisors (4720930956).

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

2163830004 is a wasteful number, since it uses less digits than its factorization.

2163830004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2163830004 is about 46516.9861878433. The cubic root of 2163830004 is about 1293.4243900593.

The spelling of 2163830004 in words is "two billion, one hundred sixty-three million, eight hundred thirty thousand, four".