2668988275200 has 960 divisors, whose sum is σ = 10600585269120. Its totient is φ = 653837598720.

The previous prime is 2668988275141. The next prime is 2668988275271. The reversal of 2668988275200 is 25728898662.

2668988275200 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 9 + 88 + 27 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1019864292 + ... + 1019866908.

It is an arithmetic number, because the mean of its divisors is an integer number (11042276322).

Almost surely, 2^{2668988275200} is an apocalyptic number.

2668988275200 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 2668988275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300292634560).

2668988275200 is an abundant number, since it is smaller than the sum of its proper divisors (7931596993920).

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

2668988275200 is a wasteful number, since it uses less digits than its factorization.

2668988275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 2668988275200 in words is "two trillion, six hundred sixty-eight billion, nine hundred eighty-eight million, two hundred seventy-five thousand, two hundred".