2668742899200 has 1800 divisors, whose sum is σ = 11606400104904. Its totient is φ = 603832320000.

The previous prime is 2668742899111. The next prime is 2668742899223. The reversal of 2668742899200 is 29982478662.

2668742899200 is a `hidden beast` number, since 26 + 6 + 87 + 428 + 99 + 20 + 0 = 666.

2668742899200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6655219000 + ... + 6655219400.

Almost surely, 2^{2668742899200} is an apocalyptic number.

2668742899200 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 2668742899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803200052452).

2668742899200 is an abundant number, since it is smaller than the sum of its proper divisors (8937657205704).

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

2668742899200 is a wasteful number, since it uses less digits than its factorization.

2668742899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 2668742899200 in words is "two trillion, six hundred sixty-eight billion, seven hundred forty-two million, eight hundred ninety-nine thousand, two hundred".