2668964300 has 72 divisors (see below), whose sum is σ = 6144919200. Its totient is φ = 1002726400.

The previous prime is 2668964281. The next prime is 2668964303. The reversal of 2668964300 is 34698662.

2668964300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2668964303) 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, 1016990 + ... + 1019610.

It is an arithmetic number, because the mean of its divisors is an integer number (85346100).

Almost surely, 2^2668964300 is an apocalyptic number.

2668964300 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 2668964300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072459600).

2668964300 is an abundant number, since it is smaller than the sum of its proper divisors (3475954900).

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

2668964300 is a wasteful number, since it uses less digits than its factorization.

2668964300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The square root of 2668964300 is about 51662.0198985677. The cubic root of 2668964300 is about 1387.1207068645.

The spelling of 2668964300 in words is "two billion, six hundred sixty-eight million, nine hundred sixty-four thousand, three hundred".