2668995360000 has 1080 divisors, whose sum is σ = 10500052282720. Its totient is φ = 674085888000.

The previous prime is 2668995359959. The next prime is 2668995360001. The reversal of 2668995360000 is 635998662.

2668995360000 is a `hidden beast` number, since 26 + 6 + 8 + 9 + 9 + 5 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668995360001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 738718194 + ... + 738721806.

Almost surely, 2^{2668995360000} is an apocalyptic number.

2668995360000 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 2668995360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5250026141360).

2668995360000 is an abundant number, since it is smaller than the sum of its proper divisors (7831056922720).

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

2668995360000 is an frugal number, since it uses more digits than its factorization.

2668995360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 2668995360000 in words is "two trillion, six hundred sixty-eight billion, nine hundred ninety-five million, three hundred sixty thousand".