2003668100 has 72 divisors (see below), whose sum is σ = 4995180288. Its totient is φ = 683366400.

The previous prime is 2003668091. The next prime is 2003668103. The reversal of 2003668100 is 18663002.

It is a super-2 number, since 2×2003668100² = 8029371709915220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2003668100.

It is not an unprimeable number, because it can be changed into a prime (2003668103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127685 + ... + 142515.

It is an arithmetic number, because the mean of its divisors is an integer number (69377504).

Almost surely, 2^2003668100 is an apocalyptic number.

2003668100 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 2003668100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497590144).

2003668100 is an abundant number, since it is smaller than the sum of its proper divisors (2991512188).

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

2003668100 is a wasteful number, since it uses less digits than its factorization.

2003668100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15045 (or 15038 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2003668100 is about 44762.3513680861. The cubic root of 2003668100 is about 1260.6908322139.

The spelling of 2003668100 in words is "two billion, three million, six hundred sixty-eight thousand, one hundred".