2133226368000 has 5280 divisors, whose sum is σ = 11100261332160. Its totient is φ = 401316249600.

The previous prime is 2133226367959. The next prime is 2133226368001. The reversal of 2133226368000 is 8636223312.

It is a happy number.

2133226368000 is a `hidden beast` number, since 2 + 1 + 332 + 263 + 68 + 0 + 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 (2133226368001) 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 479 ways as a sum of consecutive naturals, for example, 112275071991 + ... + 112275072009.

It is an arithmetic number, because the mean of its divisors is an integer number (2102322222).

Almost surely, 2^{2133226368000} is an apocalyptic number.

2133226368000 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 2133226368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5550130666080).

2133226368000 is an abundant number, since it is smaller than the sum of its proper divisors (8967034964160).

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

2133226368000 is a wasteful number, since it uses less digits than its factorization.

2133226368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2133226368000 in words is "two trillion, one hundred thirty-three billion, two hundred twenty-six million, three hundred sixty-eight thousand".