242469873760 has 96 divisors (see below), whose sum is σ = 594846286272. Its totient is φ = 93326008320.

The previous prime is 242469873749. The next prime is 242469873769. The reversal of 242469873760 is 67378964242.

It is a super-5 number, since 5×242469873760⁵ (a number of 58 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242469873695 and 242469873704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242469873769) 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, 225717 + ... + 732043.

It is an arithmetic number, because the mean of its divisors is an integer number (6196315482).

Almost surely, 2^242469873760 is an apocalyptic number.

242469873760 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 242469873760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297423143136).

242469873760 is an abundant number, since it is smaller than the sum of its proper divisors (352376412512).

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

242469873760 is a wasteful number, since it uses less digits than its factorization.

242469873760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506456 (or 506448 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 58.

The spelling of 242469873760 in words is "two hundred forty-two billion, four hundred sixty-nine million, eight hundred seventy-three thousand, seven hundred sixty".