242711040 has 480 divisors, whose sum is σ = 970491456. Its totient is φ = 51118080.

The previous prime is 242711039. The next prime is 242711047. The reversal of 242711040 is 40117242.

It is a happy number.

242711040 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 (480).

It is a super-3 number, since 3×242711040³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242710998 and 242711016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242711047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14277112 + ... + 14277128.

Almost surely, 2^242711040 is an apocalyptic number.

242711040 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 242711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485245728).

242711040 is an abundant number, since it is smaller than the sum of its proper divisors (727780416).

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

242711040 is a wasteful number, since it uses less digits than its factorization.

242711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 242711040 is about 15579.1861148136. The cubic root of 242711040 is about 623.7776985918. Note that the first 3 decimals are identical.

Adding to 242711040 its reverse (40117242), we get a palindrome (282828282).

The spelling of 242711040 in words is "two hundred forty-two million, seven hundred eleven thousand, forty".