2002133952 has 168 divisors, whose sum is σ = 7063268576. Its totient is φ = 528021504.

The previous prime is 2002133897. The next prime is 2002133957. The reversal of 2002133952 is 2593312002.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×2002133952² = 8017080723502276608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002133957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33318 + ... + 71514.

Almost surely, 2^2002133952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531634288).

2002133952 is an abundant number, since it is smaller than the sum of its proper divisors (5061134624).

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

2002133952 is a wasteful number, since it uses less digits than its factorization.

2002133952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38235 (or 38222 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2002133952 is about 44745.2114979916. The cubic root of 2002133952 is about 1260.3689924587.

Adding to 2002133952 its reverse (2593312002), we get a palindrome (4595445954).

The spelling of 2002133952 in words is "two billion, two million, one hundred thirty-three thousand, nine hundred fifty-two".