1891999200 has 288 divisors, whose sum is σ = 7580514816. Its totient is φ = 399144960.

The previous prime is 1891999189. The next prime is 1891999201. The reversal of 1891999200 is 29991981.

1891999200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1891999200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1891999201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214069 + ... + 222731.

It is an arithmetic number, because the mean of its divisors is an integer number (26321232).

Almost surely, 2^1891999200 is an apocalyptic number.

1891999200 is a gapful number since it is divisible by the number (10) 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 1891999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790257408).

1891999200 is an abundant number, since it is smaller than the sum of its proper divisors (5688515616).

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

1891999200 is a wasteful number, since it uses less digits than its factorization.

1891999200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8706 (or 8693 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 48.

The square root of 1891999200 is about 43497.1171458523. The cubic root of 1891999200 is about 1236.8213767241.

The spelling of 1891999200 in words is "one billion, eight hundred ninety-one million, nine hundred ninety-nine thousand, two hundred".