2000335200 has 144 divisors (see below), whose sum is σ = 6853936320. Its totient is φ = 505336320.

The previous prime is 2000335177. The next prime is 2000335223. The reversal of 2000335200 is 25330002.

2000335200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2000335177) and next prime (2000335223).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2000335200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23667 + ... + 67533.

It is an arithmetic number, because the mean of its divisors is an integer number (47596780).

Almost surely, 2^2000335200 is an apocalyptic number.

2000335200 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 2000335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426968160).

2000335200 is an abundant number, since it is smaller than the sum of its proper divisors (4853601120).

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

2000335200 is a wasteful number, since it uses less digits than its factorization.

2000335200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43909 (or 43896 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 2000335200 is about 44725.1070429127. The cubic root of 2000335200 is about 1259.9914335522.

Adding to 2000335200 its reverse (25330002), we get a palindrome (2025665202).

The spelling of 2000335200 in words is "two billion, three hundred thirty-five thousand, two hundred".