242624511140 has 96 divisors (see below), whose sum is σ = 576740110464. Its totient is φ = 84957327360.

The previous prime is 242624511133. The next prime is 242624511149. The reversal of 242624511140 is 41115426242.

242624511140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242624511097 and 242624511106.

It is not an unprimeable number, because it can be changed into a prime (242624511149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635939 + ... + 943221.

It is an arithmetic number, because the mean of its divisors is an integer number (6007709484).

Almost surely, 2^242624511140 is an apocalyptic number.

242624511140 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 242624511140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288370055232).

242624511140 is an abundant number, since it is smaller than the sum of its proper divisors (334115599324).

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

242624511140 is a wasteful number, since it uses less digits than its factorization.

242624511140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307437 (or 307435 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 242624511140 its reverse (41115426242), we get a palindrome (283739937382).

The spelling of 242624511140 in words is "two hundred forty-two billion, six hundred twenty-four million, five hundred eleven thousand, one hundred forty".