2002001000 has 32 divisors (see below), whose sum is σ = 4684684680. Its totient is φ = 800800000.

The previous prime is 2002000969. The next prime is 2002001021. The reversal of 2002001000 is 1002002.

It can be written as a sum of positive squares in 4 ways, for example, as 64416676 + 1937584324 = 8026^2 + 44018^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1000001 + ... + 1002000.

Almost surely, 2^2002001000 is an apocalyptic number.

2002001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002001000 is an abundant number, since it is smaller than the sum of its proper divisors (2682683680).

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

2002001000 is a wasteful number, since it uses less digits than its factorization.

2002001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002022 (or 2002008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 2002001000 is about 44743.7258171467. The cubic root of 2002001000 is about 1260.3410935116.

Adding to 2002001000 its reverse (1002002), we get a palindrome (2003003002).

The spelling of 2002001000 in words is "two billion, two million, one thousand".