2164230900 has 648 divisors, whose sum is σ = 8325967104. Its totient is φ = 485222400.

The previous prime is 2164230877. The next prime is 2164230947. The reversal of 2164230900 is 90324612.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 69813885 + ... + 69813915.

Almost surely, 2^2164230900 is an apocalyptic number.

2164230900 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 2164230900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162983552).

2164230900 is an abundant number, since it is smaller than the sum of its proper divisors (6161736204).

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

2164230900 is a wasteful number, since it uses less digits than its factorization.

2164230900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2164230900 is about 46521.2951238462. The cubic root of 2164230900 is about 1293.5042633463.

The spelling of 2164230900 in words is "two billion, one hundred sixty-four million, two hundred thirty thousand, nine hundred".