2133426243312 has 960 divisors, whose sum is σ = 7701357081600. Its totient is φ = 547658496000.

The previous prime is 2133426243293. The next prime is 2133426243313.

2133426243312 is a `hidden beast` number, since 2 + 1 + 334 + 2 + 6 + 2 + 4 + 3 + 312 = 666.

2133426243312 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133426243313) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4345063387 + ... + 4345063877.

It is an arithmetic number, because the mean of its divisors is an integer number (8022246960).

Almost surely, 2^{2133426243312} 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 2133426243312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850678540800).

2133426243312 is an abundant number, since it is smaller than the sum of its proper divisors (5567930838288).

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

2133426243312 is a wasteful number, since it uses less digits than its factorization.

2133426243312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 684 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 2133426243312 in words is "two trillion, one hundred thirty-three billion, four hundred twenty-six million, two hundred forty-three thousand, three hundred twelve".