2002333120 has 56 divisors (see below), whose sum is σ = 4780026000. Its totient is φ = 798922752.

The previous prime is 2002333087. The next prime is 2002333127. The reversal of 2002333120 is 213332002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2002333094 and 2002333103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002333127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123231 + ... + 138529.

Almost surely, 2^2002333120 is an apocalyptic number.

2002333120 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 2002333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390013000).

2002333120 is an abundant number, since it is smaller than the sum of its proper divisors (2777692880).

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

2002333120 is a wasteful number, since it uses less digits than its factorization.

2002333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15725 (or 15715 counting only the distinct ones).

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

The square root of 2002333120 is about 44747.4370215770. The cubic root of 2002333120 is about 1260.4107840095.

Adding to 2002333120 its reverse (213332002), we get a palindrome (2215665122).

The spelling of 2002333120 in words is "two billion, two million, three hundred thirty-three thousand, one hundred twenty".