2133425737728 has 416 divisors, whose sum is σ = 6548857835520. Its totient is φ = 685621739520.

The previous prime is 2133425737699. The next prime is 2133425737789. The reversal of 2133425737728 is 8277375243312.

2133425737728 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 42 + 573 + 7 + 7 + 28 = 666.

It is a super-2 number, since 2×2133425737728² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1052503051 + ... + 1052505077.

It is an arithmetic number, because the mean of its divisors is an integer number (15742446720).

Almost surely, 2^{2133425737728} 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 2133425737728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274428917760).

2133425737728 is an abundant number, since it is smaller than the sum of its proper divisors (4415432097792).

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

2133425737728 is a wasteful number, since it uses less digits than its factorization.

2133425737728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2370 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 2133425737728 in words is "two trillion, one hundred thirty-three billion, four hundred twenty-five million, seven hundred thirty-seven thousand, seven hundred twenty-eight".