2230327772127 has 192 divisors, whose sum is σ = 4154187448320. Its totient is φ = 1164379515264.

The previous prime is 2230327772087. The next prime is 2230327772129. The reversal of 2230327772127 is 7212777230322.

2230327772127 is a `hidden beast` number, since 2 + 2 + 303 + 277 + 72 + 1 + 2 + 7 = 666.

2230327772127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2230327772127 - 2⁸ = 2230327771871 is a prime.

It is a super-2 number, since 2×2230327772127² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230327772129) 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, 1738368628 + ... + 1738369910.

It is an arithmetic number, because the mean of its divisors is an integer number (21636392960).

Almost surely, 2^{2230327772127} is an apocalyptic number.

2230327772127 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2230327772127 is a deficient number, since it is larger than the sum of its proper divisors (1923859676193).

2230327772127 is a wasteful number, since it uses less digits than its factorization.

2230327772127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 2230327772127 in words is "two trillion, two hundred thirty billion, three hundred twenty-seven million, seven hundred seventy-two thousand, one hundred twenty-seven".