2002032032 has 96 divisors (see below), whose sum is σ = 5292169344. Its totient is φ = 720000000.

The previous prime is 2002032029. The next prime is 2002032041. The reversal of 2002032032 is 2302302002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2002031998 and 2002032016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 782 + ... + 63282.

It is an arithmetic number, because the mean of its divisors is an integer number (55126764).

Almost surely, 2^2002032032 is an apocalyptic number.

2002032032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646084672).

2002032032 is an abundant number, since it is smaller than the sum of its proper divisors (3290137312).

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

2002032032 is a wasteful number, since it uses less digits than its factorization.

2002032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62542 (or 62534 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2002032032 is about 44744.0725906795. The cubic root of 2002032032 is about 1260.3476054469.

Adding to 2002032032 its reverse (2302302002), we get a palindrome (4304334034).

The spelling of 2002032032 in words is "two billion, two million, thirty-two thousand, thirty-two", and thus it is an eban number.