242500512540 has 384 divisors, whose sum is σ = 809538831360. Its totient is φ = 53465702400.

The previous prime is 242500512533. The next prime is 242500512571. The reversal of 242500512540 is 45215005242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242500512498 and 242500512507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 413118127 + ... + 413118713.

It is an arithmetic number, because the mean of its divisors is an integer number (2108174040).

Almost surely, 2^242500512540 is an apocalyptic number.

242500512540 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 242500512540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404769415680).

242500512540 is an abundant number, since it is smaller than the sum of its proper divisors (567038318820).

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

242500512540 is a wasteful number, since it uses less digits than its factorization.

242500512540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 242500512540 its reverse (45215005242), we get a palindrome (287715517782).

The spelling of 242500512540 in words is "two hundred forty-two billion, five hundred million, five hundred twelve thousand, five hundred forty".