242015440 has 80 divisors (see below), whose sum is σ = 590475600. Its totient is φ = 92123136.

The previous prime is 242015429. The next prime is 242015443. The reversal of 242015440 is 44510242.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19289664 + 222725776 = 4392^2 + 14924^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242015443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168646 + ... + 170074.

It is an arithmetic number, because the mean of its divisors is an integer number (7380945).

Almost surely, 2^242015440 is an apocalyptic number.

242015440 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 242015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295237800).

242015440 is an abundant number, since it is smaller than the sum of its proper divisors (348460160).

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

242015440 is a wasteful number, since it uses less digits than its factorization.

242015440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 242015440 is about 15556.8454385843. The cubic root of 242015440 is about 623.1812212039.

Adding to 242015440 its reverse (44510242), we get a palindrome (286525682).

The spelling of 242015440 in words is "two hundred forty-two million, fifteen thousand, four hundred forty".