2133782037504 has 528 divisors, whose sum is σ = 6869283297600. Its totient is φ = 654002159616.

The previous prime is 2133782037481. The next prime is 2133782037529. The reversal of 2133782037504 is 4057302873312.

It is a happy number.

2133782037504 is a `hidden beast` number, since 2 + 1 + 3 + 37 + 82 + 0 + 37 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2133782037504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1462495527 + ... + 1462496985.

Almost surely, 2^{2133782037504} is an apocalyptic number.

2133782037504 is a gapful number since it is divisible by the number (24) 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 2133782037504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434641648800).

2133782037504 is an abundant number, since it is smaller than the sum of its proper divisors (4735501260096).

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

2133782037504 is a wasteful number, since it uses less digits than its factorization.

2133782037504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 2133782037504 in words is "two trillion, one hundred thirty-three billion, seven hundred eighty-two million, thirty-seven thousand, five hundred four".