289577242242 has 126 divisors (see below), whose sum is σ = 692648736363. Its totient is φ = 90738175104.

The previous prime is 289577242151. The next prime is 289577242249. The reversal of 289577242242 is 242242775982.

It is a happy number.

289577242242 is a `hidden beast` number, since 2 + 8 + 9 + 577 + 2 + 4 + 22 + 42 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 242722743561 + 46854498681 = 492669^2 + 216459^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=380511.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (289577242249) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 349308684 + ... + 349309512.

Almost surely, 2^289577242242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289577242242

289577242242 is an abundant number, since it is smaller than the sum of its proper divisors (403071494121).

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

289577242242 is an frugal number, since it uses more digits than its factorization.

289577242242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 851 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 289577242242 in words is "two hundred eighty-nine billion, five hundred seventy-seven million, two hundred forty-two thousand, two hundred forty-two".