2002332033 has 12 divisors (see below), whose sum is σ = 3114738900. Its totient is φ = 1232204256.

The previous prime is 2002332019. The next prime is 2002332037. The reversal of 2002332033 is 3302332002.

It can be written as a sum of positive squares in 2 ways, for example, as 1203534864 + 798797169 = 34692^2 + 28263^2 .

It is not a de Polignac number, because 2002332033 - 2²⁰ = 2001283457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002331997 and 2002332015.

It is not an unprimeable number, because it can be changed into a prime (2002332037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8556858 + ... + 8557091.

It is an arithmetic number, because the mean of its divisors is an integer number (259561575).

Almost surely, 2^2002332033 is an apocalyptic number.

It is an amenable number.

2002332033 is a deficient number, since it is larger than the sum of its proper divisors (1112406867).

2002332033 is a wasteful number, since it uses less digits than its factorization.

2002332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17113968 (or 17113965 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 2002332033 is about 44747.4248756283. The cubic root of 2002332033 is about 1260.4105559311.

Adding to 2002332033 its reverse (3302332002), we get a palindrome (5304664035).

The spelling of 2002332033 in words is "two billion, two million, three hundred thirty-two thousand, thirty-three".