2540083235328 has 300 divisors, whose sum is σ = 7925509348218. Its totient is φ = 809874616320.

The previous prime is 2540083235309. The next prime is 2540083235341. The reversal of 2540083235328 is 8235323800452.

2540083235328 is a `hidden beast` number, since 2 + 5 + 400 + 8 + 3 + 235 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1746330534144 + 793752701184 = 1321488^2 + 890928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21880798 + ... + 21996578.

Almost surely, 2^{2540083235328} 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 2540083235328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962754674109).

2540083235328 is an abundant number, since it is smaller than the sum of its proper divisors (5385426112890).

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

2540083235328 is an equidigital number, since it uses as much as digits as its factorization.

2540083235328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115857 (or 115809 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 2540083235328 in words is "two trillion, five hundred forty billion, eighty-three million, two hundred thirty-five thousand, three hundred twenty-eight".