2000200000 has 168 divisors, whose sum is σ = 5065785144. Its totient is φ = 783360000.

The previous prime is 2000199979. The next prime is 2000200003. The reversal of 2000200000 is 20002.

It can be written as a sum of positive squares in 12 ways, for example, as 1973491776 + 26708224 = 44424^2 + 5168^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14599932 + ... + 14600068.

It is an arithmetic number, because the mean of its divisors is an integer number (30153483).

Almost surely, 2^2000200000 is an apocalyptic number.

2000200000 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 2000200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532892572).

2000200000 is an abundant number, since it is smaller than the sum of its proper divisors (3065585144).

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

2000200000 is an frugal number, since it uses more digits than its factorization.

2000200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

The square root of 2000200000 is about 44723.5955620744. The cubic root of 2000200000 is about 1259.9630458634.

Adding to 2000200000 its reverse (20002), we get a palindrome (2000220002).

2000200000 divided by its reverse (20002) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 2000 and 200000, that multiplied together give a square (400000000 = 20000²).

The spelling of 2000200000 in words is "two billion, two hundred thousand".