2000199600 has 1080 divisors, whose sum is σ = 9228828960. Its totient is φ = 397393920.

The previous prime is 2000199587. The next prime is 2000199601. The reversal of 2000199600 is 69910002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2000199601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 68972386 + ... + 68972414.

It is an arithmetic number, because the mean of its divisors is an integer number (8545212).

Almost surely, 2^2000199600 is an apocalyptic number.

2000199600 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 2000199600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614414480).

2000199600 is an abundant number, since it is smaller than the sum of its proper divisors (7228629360).

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

2000199600 is a wasteful number, since it uses less digits than its factorization.

2000199600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2000199600 is about 44723.5910901618. The cubic root of 2000199600 is about 1259.9629618742.

The spelling of 2000199600 in words is "two billion, one hundred ninety-nine thousand, six hundred".