2068266301200 has 1440 divisors, whose sum is σ = 8625928619520. Its totient is φ = 466663219200.

The previous prime is 2068266301133. The next prime is 2068266301207. The reversal of 2068266301200 is 21036628602.

2068266301200 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 2 + 6 + 630 + 12 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2068266301207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3673652119 + ... + 3673652681.

It is an arithmetic number, because the mean of its divisors is an integer number (5990228208).

Almost surely, 2^{2068266301200} is an apocalyptic number.

2068266301200 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 2068266301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312964309760).

2068266301200 is an abundant number, since it is smaller than the sum of its proper divisors (6557662318320).

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

2068266301200 is a wasteful number, since it uses less digits than its factorization.

2068266301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2068266301200 in words is "two trillion, sixty-eight billion, two hundred sixty-six million, three hundred one thousand, two hundred".