2010002001 has 48 divisors (see below), whose sum is σ = 3291955200. Its totient is φ = 1084702752.

The previous prime is 2010001927. The next prime is 2010002009. The reversal of 2010002001 is 1002000102.

It is a happy number.

It is not a de Polignac number, because 2010002001 - 2²² = 2005807697 is a prime.

It is a super-3 number, since 3×2010002001³ (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2010002009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1068780 + ... + 1070658.

It is an arithmetic number, because the mean of its divisors is an integer number (68582400).

Almost surely, 2^2010002001 is an apocalyptic number.

2010002001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2010002001 is a deficient number, since it is larger than the sum of its proper divisors (1281953199).

2010002001 is a wasteful number, since it uses less digits than its factorization.

2010002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2010002001 is about 44833.0458590536. The cubic root of 2010002001 is about 1262.0178470087.

Adding to 2010002001 its reverse (1002000102), we get a palindrome (3012002103).

The spelling of 2010002001 in words is "two billion, ten million, two thousand, one".