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242772768 = 25337137293

242772768 has 192 divisors, whose sum is σ = 817931520. Its totient is φ = 68622336.

The previous prime is 242772763. The next prime is 242772773. The reversal of 242772768 is 867277242.

242772768 is digitally balanced in base 3, 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 (242772763) and next prime (242772773).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (242772763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828430 + ... + 828722.

It is an arithmetic number, because the mean of its divisors is an integer number (4260060).

Almost surely, 2242772768 is an apocalyptic number.

242772768 is a gapful number since it is divisible by the number (28) 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 242772768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408965760).

242772768 is an abundant number, since it is smaller than the sum of its proper divisors (575158752).

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

242772768 is a wasteful number, since it uses less digits than its factorization.

242772768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 442 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 242772768 is about 15581.1670936422. The cubic root of 242772768 is about 623.8305753048.

The spelling of 242772768 in words is "two hundred forty-two million, seven hundred seventy-two thousand, seven hundred sixty-eight".