2132000200 has 192 divisors, whose sum is σ = 5719633920. Its totient is φ = 731808000.

The previous prime is 2132000179. The next prime is 2132000201. The reversal of 2132000200 is 20002312.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2132000201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2932237 + ... + 2932963.

It is an arithmetic number, because the mean of its divisors is an integer number (29789760).

Almost surely, 2^2132000200 is an apocalyptic number.

2132000200 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 2132000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859816960).

2132000200 is an abundant number, since it is smaller than the sum of its proper divisors (3587633720).

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

2132000200 is a wasteful number, since it uses less digits than its factorization.

2132000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2132000200 is about 46173.5876882011. The cubic root of 2132000200 is about 1287.0509723313.

Adding to 2132000200 its reverse (20002312), we get a palindrome (2152002512).

The spelling of 2132000200 in words is "two billion, one hundred thirty-two million, two hundred", and thus it is an aban number.