2133742473312 has 192 divisors, whose sum is σ = 6088297146624. Its totient is φ = 651705384960.

The previous prime is 2133742473311. The next prime is 2133742473347.

2133742473312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2133742473312² (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 (2133742473311) 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 31 ways as a sum of consecutive naturals, for example, 21494512 + ... + 21593552.

It is an arithmetic number, because the mean of its divisors is an integer number (31709880972).

Almost surely, 2^{2133742473312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133742473312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044148573312).

2133742473312 is an abundant number, since it is smaller than the sum of its proper divisors (3954554673312).

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

2133742473312 is a wasteful number, since it uses less digits than its factorization.

2133742473312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99421 (or 99413 counting only the distinct ones).

The product of its digits is 508032, while the sum is 42.

The spelling of 2133742473312 in words is "two trillion, one hundred thirty-three billion, seven hundred forty-two million, four hundred seventy-three thousand, three hundred twelve".