242650078272 has 672 divisors, whose sum is σ = 887676599040. Its totient is φ = 63621365760.

The previous prime is 242650078261. The next prime is 242650078283. The reversal of 242650078272 is 272870056242.

242650078272 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 500 + 78 + 2 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (242650078261) and next prime (242650078283).

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143324658 + ... + 143326350.

It is an arithmetic number, because the mean of its divisors is an integer number (1320947320).

Almost surely, 2^242650078272 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 242650078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443838299520).

242650078272 is an abundant number, since it is smaller than the sum of its proper divisors (645026520768).

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

242650078272 is a wasteful number, since it uses less digits than its factorization.

242650078272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 242650078272 in words is "two hundred forty-two billion, six hundred fifty million, seventy-eight thousand, two hundred seventy-two".