2002000032 has 72 divisors (see below), whose sum is σ = 5699846880. Its totient is φ = 666552960.

The previous prime is 2002000031. The next prime is 2002000069. The reversal of 2002000032 is 2300002002.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 2001999978 and 2002000023.

It is not an unprimeable number, because it can be changed into a prime (2002000031) 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 11 ways as a sum of consecutive naturals, for example, 276069 + ... + 283227.

It is an arithmetic number, because the mean of its divisors is an integer number (79164540).

Almost surely, 2^2002000032 is an apocalyptic number.

It is an amenable number.

2002000032 is an abundant number, since it is smaller than the sum of its proper divisors (3697846848).

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

2002000032 is a wasteful number, since it uses less digits than its factorization.

2002000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146 (or 8135 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2002000032 is about 44743.7149999863. The cubic root of 2002000032 is about 1260.3408903798.

Adding to 2002000032 its reverse (2300002002), we get a palindrome (4302002034).

The spelling of 2002000032 in words is "two billion, two million, thirty-two", and thus it is an aban number, an eban number, and an uban number.