2002232100 has 72 divisors (see below), whose sum is σ = 6319783008. Its totient is φ = 485388800.

The previous prime is 2002232059. The next prime is 2002232107. The reversal of 2002232100 is 12322002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2002232107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300069 + ... + 306668.

It is an arithmetic number, because the mean of its divisors is an integer number (87774764).

Almost surely, 2^2002232100 is an apocalyptic number.

2002232100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002232100 is an abundant number, since it is smaller than the sum of its proper divisors (4317550908).

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

2002232100 is a wasteful number, since it uses less digits than its factorization.

2002232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606765 (or 606758 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2002232100 is about 44746.3082276069. The cubic root of 2002232100 is about 1260.3895872636.

Adding to 2002232100 its reverse (12322002), we get a palindrome (2014554102).

The spelling of 2002232100 in words is "two billion, two million, two hundred thirty-two thousand, one hundred".