2129668200 has 960 divisors, whose sum is σ = 9236462400. Its totient is φ = 447897600.

The previous prime is 2129668193. The next prime is 2129668223. The reversal of 2129668200 is 28669212.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 57558582 + ... + 57558618.

It is an arithmetic number, because the mean of its divisors is an integer number (9621315).

Almost surely, 2^2129668200 is an apocalyptic number.

2129668200 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 2129668200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618231200).

2129668200 is an abundant number, since it is smaller than the sum of its proper divisors (7106794200).

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

2129668200 is a wasteful number, since it uses less digits than its factorization.

2129668200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2129668200 is about 46148.3282470774. The cubic root of 2129668200 is about 1286.5815386898.

The spelling of 2129668200 in words is "two billion, one hundred twenty-nine million, six hundred sixty-eight thousand, two hundred".