2129866200 has 576 divisors, whose sum is σ = 9062277120. Its totient is φ = 439084800.

The previous prime is 2129866139. The next prime is 2129866223. The reversal of 2129866200 is 26689212.

It is a happy number.

2129866200 is a `hidden beast` number, since 2 + 1 + 29 + 8 + 6 + 620 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 16770537 + ... + 16770663.

It is an arithmetic number, because the mean of its divisors is an integer number (15733120).

Almost surely, 2^2129866200 is an apocalyptic number.

2129866200 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 2129866200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531138560).

2129866200 is an abundant number, since it is smaller than the sum of its proper divisors (6932410920).

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

2129866200 is a wasteful number, since it uses less digits than its factorization.

2129866200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 155 counting only the distinct ones).

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

The square root of 2129866200 is about 46150.4734536928. The cubic root of 2129866200 is about 1286.6214095721.

The spelling of 2129866200 in words is "two billion, one hundred twenty-nine million, eight hundred sixty-six thousand, two hundred".