2000311200 has 180 divisors, whose sum is σ = 7294982310. Its totient is φ = 533399040.

The previous prime is 2000311153. The next prime is 2000311237. The reversal of 2000311200 is 21130002.

It is a happy number.

2000311200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 934158096 + 1066153104 = 30564^2 + 32652^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 49366 + ... + 80234.

Almost surely, 2^2000311200 is an apocalyptic number.

2000311200 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 2000311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647491155).

2000311200 is an abundant number, since it is smaller than the sum of its proper divisors (5294671110).

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

2000311200 is a wasteful number, since it uses less digits than its factorization.

2000311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30901 (or 30879 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2000311200 is about 44724.8387364337. The cubic root of 2000311200 is about 1259.9863944109.

Adding to 2000311200 its reverse (21130002), we get a palindrome (2021441202).

The spelling of 2000311200 in words is "two billion, three hundred eleven thousand, two hundred".