242585519339184 has 480 divisors, whose sum is σ = 756690660126720. Its totient is φ = 65477471330304.

The previous prime is 242585519339183. The next prime is 242585519339197. The reversal of 242585519339184 is 481933915585242.

It is a super-2 number, since 2×242585519339184² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (242585519339183) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38028766107 + ... + 38028772485.

It is an arithmetic number, because the mean of its divisors is an integer number (1576438875264).

Almost surely, 2^{242585519339184} is an apocalyptic number.

242585519339184 is a gapful number since it is divisible by the number (24) 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 242585519339184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378345330063360).

242585519339184 is an abundant number, since it is smaller than the sum of its proper divisors (514105140787536).

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

242585519339184 is a wasteful number, since it uses less digits than its factorization.

242585519339184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7137 (or 7034 counting only the distinct ones).

The product of its digits is 373248000, while the sum is 69.

The spelling of 242585519339184 in words is "two hundred forty-two trillion, five hundred eighty-five billion, five hundred nineteen million, three hundred thirty-nine thousand, one hundred eighty-four".