8290084242 has 64 divisors (see below), whose sum is σ = 18456294528. Its totient is φ = 2461440000.

The previous prime is 8290084223. The next prime is 8290084249. The reversal of 8290084242 is 2424800928.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 8290084242.

It is not an unprimeable number, because it can be changed into a prime (8290084249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640192 + ... + 653012.

It is an arithmetic number, because the mean of its divisors is an integer number (288379602).

Almost surely, 2^8290084242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8290084242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9228147264).

8290084242 is an abundant number, since it is smaller than the sum of its proper divisors (10166210286).

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

8290084242 is a wasteful number, since it uses less digits than its factorization.

8290084242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13035.

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 8290084242 is about 91049.8997363534. The cubic root of 8290084242 is about 2023.8872506220.

The spelling of 8290084242 in words is "eight billion, two hundred ninety million, eighty-four thousand, two hundred forty-two".