819305722242 has 96 divisors (see below), whose sum is σ = 2035594858752. Its totient is φ = 233299688832.

The previous prime is 819305722241. The next prime is 819305722259. The reversal of 819305722242 is 242227503918.

819305722242 is a `hidden beast` number, since 8 + 1 + 9 + 30 + 572 + 2 + 2 + 42 = 666.

It is a super-3 number, since 3×819305722242³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (819305722241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47968608 + ... + 47985684.

It is an arithmetic number, because the mean of its divisors is an integer number (21204113112).

Almost surely, 2^819305722242 is an apocalyptic number.

819305722242 is an abundant number, since it is smaller than the sum of its proper divisors (1216289136510).

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

819305722242 is a wasteful number, since it uses less digits than its factorization.

819305722242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18352 (or 18349 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 819305722242 in words is "eight hundred nineteen billion, three hundred five million, seven hundred twenty-two thousand, two hundred forty-two".