2002004631 has 48 divisors (see below), whose sum is σ = 3209256960. Its totient is φ = 1192527360.

The previous prime is 2002004623. The next prime is 2002004639. The reversal of 2002004631 is 1364002002.

It is a happy number.

2002004631 is a `hidden beast` number, since 2 + 0 + 0 + 200 + 463 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2002004623) and next prime (2002004639).

It is not a de Polignac number, because 2002004631 - 2³ = 2002004623 is a prime.

It is a super-2 number, since 2×2002004631² = 8016045085090892322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002004639) 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, 1564650 + ... + 1565928.

It is an arithmetic number, because the mean of its divisors is an integer number (66859520).

Almost surely, 2^2002004631 is an apocalyptic number.

2002004631 is a deficient number, since it is larger than the sum of its proper divisors (1207252329).

2002004631 is a wasteful number, since it uses less digits than its factorization.

2002004631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2002004631 is about 44743.7663926496. The cubic root of 2002004631 is about 1260.3418554652.

Adding to 2002004631 its reverse (1364002002), we get a palindrome (3366006633).

The spelling of 2002004631 in words is "two billion, two million, four thousand, six hundred thirty-one".