242676864 has 256 divisors, whose sum is σ = 775526400. Its totient is φ = 74511360.

The previous prime is 242676857. The next prime is 242676871. The reversal of 242676864 is 468676242.

242676864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242676857) and next prime (242676871).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3417949 + ... + 3418019.

It is an arithmetic number, because the mean of its divisors is an integer number (3029400).

Almost surely, 2^242676864 is an apocalyptic number.

242676864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242676864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387763200).

242676864 is an abundant number, since it is smaller than the sum of its proper divisors (532849536).

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

242676864 is a wasteful number, since it uses less digits than its factorization.

242676864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 242676864 is about 15578.0892281435. The cubic root of 242676864 is about 623.7484192928.

The spelling of 242676864 in words is "two hundred forty-two million, six hundred seventy-six thousand, eight hundred sixty-four".