2002000050 has 120 divisors (see below), whose sum is σ = 5578472196. Its totient is φ = 532344960.

The previous prime is 2002000031. The next prime is 2002000069. The reversal of 2002000050 is 500002002.

It is an interprime number because it is at equal distance from previous prime (2002000031) and next prime (2002000069).

It can be written as a sum of positive squares in 6 ways, for example, as 568393281 + 1433606769 = 23841^2 + 37863^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2001999996 and 2002000041.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2644272 + ... + 2645028.

Almost surely, 2^2002000050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002000050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789236098).

2002000050 is an abundant number, since it is smaller than the sum of its proper divisors (3576472146).

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

2002000050 is a wasteful number, since it uses less digits than its factorization.

2002000050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 2002000050 is about 44743.7152011319. The cubic root of 2002000050 is about 1260.3408941570.

Adding to 2002000050 its reverse (500002002), we get a palindrome (2502002052).

The spelling of 2002000050 in words is "two billion, two million, fifty", and thus it is an aban number, an eban number, and an uban number.