2133159180768 has 960 divisors, whose sum is σ = 8118677952000. Its totient is φ = 544529018880.

The previous prime is 2133159180767. The next prime is 2133159180769. The reversal of 2133159180768 is 8670819513312.

2133159180768 is a `hidden beast` number, since 2 + 13 + 31 + 591 + 8 + 0 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2133159180767) and next prime (2133159180769).

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 (2133159180767) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 576995496 + ... + 576999192.

It is an arithmetic number, because the mean of its divisors is an integer number (8456956200).

Almost surely, 2^{2133159180768} is an apocalyptic number.

2133159180768 is a gapful number since it is divisible by the number (28) 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 2133159180768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059338976000).

2133159180768 is an abundant number, since it is smaller than the sum of its proper divisors (5985518771232).

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

2133159180768 is a wasteful number, since it uses less digits than its factorization.

2133159180768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 2133159180768 in words is "two trillion, one hundred thirty-three billion, one hundred fifty-nine million, one hundred eighty thousand, seven hundred sixty-eight".