2258135116272 has 960 divisors, whose sum is σ = 8080282828800. Its totient is φ = 609007424256.

The previous prime is 2258135116271. The next prime is 2258135116301. The reversal of 2258135116272 is 2726115318522.

2258135116272 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 1 + 3 + 5 + 11 + 627 + 2 = 666.

2258135116272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258135116271) 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, 2545811413 + ... + 2545812299.

It is an arithmetic number, because the mean of its divisors is an integer number (8416961280).

Almost surely, 2^{2258135116272} 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 2258135116272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040141414400).

2258135116272 is an abundant number, since it is smaller than the sum of its proper divisors (5822147712528).

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

2258135116272 is an equidigital number, since it uses as much as digits as its factorization.

2258135116272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1005 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 2258135116272 in words is "two trillion, two hundred fifty-eight billion, one hundred thirty-five million, one hundred sixteen thousand, two hundred seventy-two".