2002233100 has 108 divisors (see below), whose sum is σ = 5071784760. Its totient is φ = 684096000.

The previous prime is 2002233097. The next prime is 2002233137. The reversal of 2002233100 is 13322002.

It is a happy number.

It is a super-2 number, since 2×2002233100² = 8017874773471220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1964391 + ... + 1965409.

It is an arithmetic number, because the mean of its divisors is an integer number (46960970).

Almost surely, 2^2002233100 is an apocalyptic number.

2002233100 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 2002233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535892380).

2002233100 is an abundant number, since it is smaller than the sum of its proper divisors (3069551660).

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

2002233100 is a wasteful number, since it uses less digits than its factorization.

2002233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2002233100 is about 44746.3194017117. The cubic root of 2002233100 is about 1260.3897970943.

Adding to 2002233100 its reverse (13322002), we get a palindrome (2015555102).

The spelling of 2002233100 in words is "two billion, two million, two hundred thirty-three thousand, one hundred".