2000131200 has 288 divisors, whose sum is σ = 7333721460. Its totient is φ = 518676480.

The previous prime is 2000131193. The next prime is 2000131219. The reversal of 2000131200 is 21310002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1294272576 + 705858624 = 35976^2 + 26568^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 1064662 + ... + 1066538.

Almost surely, 2^2000131200 is an apocalyptic number.

2000131200 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 2000131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666860730).

2000131200 is an abundant number, since it is smaller than the sum of its proper divisors (5333590260).

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

2000131200 is a wasteful number, since it uses less digits than its factorization.

2000131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1924 counting only the distinct ones).

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

The square root of 2000131200 is about 44722.8263865333. The cubic root of 2000131200 is about 1259.9485995661.

Adding to 2000131200 its reverse (21310002), we get a palindrome (2021441202).

The spelling of 2000131200 in words is "two billion, one hundred thirty-one thousand, two hundred".