2668388600 has 96 divisors (see below), whose sum is σ = 6437869200. Its totient is φ = 1027353600.

The previous prime is 2668388573. The next prime is 2668388603. The reversal of 2668388600 is 68838662.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668388603) 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, 2847332 + ... + 2848268.

Almost surely, 2^2668388600 is an apocalyptic number.

2668388600 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 2668388600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218934600).

2668388600 is an abundant number, since it is smaller than the sum of its proper divisors (3769480600).

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

2668388600 is a wasteful number, since it uses less digits than its factorization.

2668388600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The square root of 2668388600 is about 51656.4478066388. The cubic root of 2668388600 is about 1387.0209649515.

The spelling of 2668388600 in words is "two billion, six hundred sixty-eight million, three hundred eighty-eight thousand, six hundred".