200000002000 has 80 divisors (see below), whose sum is σ = 512047150992. Its totient is φ = 75294105600.

The previous prime is 200000001959. The next prime is 200000002001. The reversal of 200000002000 is 200000002.

It can be written as a sum of positive squares in 8 ways, for example, as 18612599184 + 181387402816 = 136428^2 + 425896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 (200000002001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2907177 + ... + 2975176.

Almost surely, 2^200000002000 is an apocalyptic number.

200000002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200000002000 is an abundant number, since it is smaller than the sum of its proper divisors (312047148992).

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

200000002000 is a wasteful number, since it uses less digits than its factorization.

200000002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882393 (or 5882377 counting only the distinct ones).

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

Adding to 200000002000 its reverse (200000002), we get a palindrome (200200002002).

200000002000 divided by its reverse (200000002) gives a cube (1000 = 10³).

It can be divided in two parts, 20000000 and 2000, that multiplied together give a square (40000000000 = 200000²).

The spelling of 200000002000 in words is "two hundred billion, two thousand".