2002133320 has 256 divisors, whose sum is σ = 5388768000. Its totient is φ = 662323200.

The previous prime is 2002133297. The next prime is 2002133321. The reversal of 2002133320 is 233312002.

It is a junction number, because it is equal to n+sod(n) for n = 2002133294 and 2002133303.

It is not an unprimeable number, because it can be changed into a prime (2002133321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22495836 + ... + 22495924.

It is an arithmetic number, because the mean of its divisors is an integer number (21049875).

Almost surely, 2^2002133320 is an apocalyptic number.

2002133320 is a gapful number since it is divisible by the number (20) 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 2002133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694384000).

2002133320 is an abundant number, since it is smaller than the sum of its proper divisors (3386634680).

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

2002133320 is a wasteful number, since it uses less digits than its factorization.

2002133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2002133320 is about 44745.2044357828. The cubic root of 2002133320 is about 1260.3688598413.

Adding to 2002133320 its reverse (233312002), we get a palindrome (2235445322).

The spelling of 2002133320 in words is "two billion, two million, one hundred thirty-three thousand, three hundred twenty".