2133480571992 has 768 divisors, whose sum is σ = 7851141043200. Its totient is φ = 506400768000.

The previous prime is 2133480571991. The next prime is 2133480572057. The reversal of 2133480571992 is 2991750843312.

2133480571992 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 480 + 5 + 71 + 9 + 92 = 666.

It is a super-2 number, since 2×2133480571992² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133480571991) 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 191 ways as a sum of consecutive naturals, for example, 884893267 + ... + 884895677.

It is an arithmetic number, because the mean of its divisors is an integer number (10222839900).

Almost surely, 2^{2133480571992} is an apocalyptic number.

2133480571992 is a gapful number since it is divisible by the number (22) 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 2133480571992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925570521600).

2133480571992 is an abundant number, since it is smaller than the sum of its proper divisors (5717660471208).

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

2133480571992 is a wasteful number, since it uses less digits than its factorization.

2133480571992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2133480571992 in words is "two trillion, one hundred thirty-three billion, four hundred eighty million, five hundred seventy-one thousand, nine hundred ninety-two".