242407540 has 24 divisors (see below), whose sum is σ = 511047432. Its totient is φ = 96583680.

The previous prime is 242407499. The next prime is 242407547. The reversal of 242407540 is 45704242.

It is a happy number.

242407540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 47637604 + 194769936 = 6902^2 + 13956^2 .

It is a super-2 number, since 2×242407540² = 117522830897703200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242407499 and 242407508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242407547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18441 + ... + 28720.

It is an arithmetic number, because the mean of its divisors is an integer number (21293643).

Almost surely, 2^242407540 is an apocalyptic number.

242407540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242407540 is an abundant number, since it is smaller than the sum of its proper divisors (268639892).

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

242407540 is a wasteful number, since it uses less digits than its factorization.

242407540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47427 (or 47425 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 242407540 is about 15569.4425076815. The cubic root of 242407540 is about 623.5175875050.

The spelling of 242407540 in words is "two hundred forty-two million, four hundred seven thousand, five hundred forty".