2168430000 has 200 divisors, whose sum is σ = 7637505216. Its totient is φ = 525600000.

The previous prime is 2168429993. The next prime is 2168430001. The reversal of 2168430000 is 348612.

It is a happy number.

2168430000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2168430001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 326715 + ... + 333285.

Almost surely, 2^2168430000 is an apocalyptic number.

2168430000 is a gapful number since it is divisible by the number (20) 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 2168430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818752608).

2168430000 is an abundant number, since it is smaller than the sum of its proper divisors (5469075216).

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

2168430000 is a wasteful number, since it uses less digits than its factorization.

2168430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6613 (or 6592 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2168430000 is about 46566.4041987354. The cubic root of 2168430000 is about 1294.3402870068.

Adding to 2168430000 its reverse (348612), we get a palindrome (2168778612).

The spelling of 2168430000 in words is "two billion, one hundred sixty-eight million, four hundred thirty thousand".