242503925760 has 240 divisors, whose sum is σ = 862217731200. Its totient is φ = 64667123712.

The previous prime is 242503925683. The next prime is 242503925761. The reversal of 242503925760 is 67529305242.

242503925760 is a `hidden beast` number, since 2 + 4 + 2 + 503 + 92 + 57 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (242503925761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2157021 + ... + 2266659.

It is an arithmetic number, because the mean of its divisors is an integer number (3592573880).

Almost surely, 2^242503925760 is an apocalyptic number.

242503925760 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 242503925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431108865600).

242503925760 is an abundant number, since it is smaller than the sum of its proper divisors (619713805440).

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

242503925760 is an equidigital number, since it uses as much as digits as its factorization.

242503925760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109681 (or 109649 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 242503925760 in words is "two hundred forty-two billion, five hundred three million, nine hundred twenty-five thousand, seven hundred sixty".