242720000 has 180 divisors, whose sum is σ = 636949236. Its totient is φ = 92160000.

The previous prime is 242719979. The next prime is 242720021. The reversal of 242720000 is 27242.

242720000 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 (242719979) and next prime (242720021).

It can be written as a sum of positive squares in 10 ways, for example, as 197346304 + 45373696 = 14048^2 + 6736^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5919980 + ... + 5920020.

Almost surely, 2^242720000 is an apocalyptic number.

242720000 is a gapful number since it is divisible by the number (20) 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 242720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318474618).

242720000 is an abundant number, since it is smaller than the sum of its proper divisors (394229236).

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

242720000 is an frugal number, since it uses more digits than its factorization.

242720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 242720000 is about 15579.4736753204. The cubic root of 242720000 is about 623.7853743577.

Adding to 242720000 its reverse (27242), we get a palindrome (242747242).

It can be divided in two parts, 242 and 720000, that multiplied together give a square (174240000 = 13200²).

The spelling of 242720000 in words is "two hundred forty-two million, seven hundred twenty thousand".