242998272 has 352 divisors, whose sum is σ = 848931840. Its totient is φ = 67829760.

The previous prime is 242998247. The next prime is 242998291. The reversal of 242998272 is 272899242.

242998272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

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, 5170153 + ... + 5170199.

Almost surely, 2^242998272 is an apocalyptic number.

242998272 is a gapful number since it is divisible by the number (22) 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 242998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424465920).

242998272 is an abundant number, since it is smaller than the sum of its proper divisors (605933568).

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

242998272 is a wasteful number, since it uses less digits than its factorization.

242998272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 242998272 is about 15588.4018423955. The cubic root of 242998272 is about 624.0236677413.

The spelling of 242998272 in words is "two hundred forty-two million, nine hundred ninety-eight thousand, two hundred seventy-two".