242459680224 has 96 divisors (see below), whose sum is σ = 646610580000. Its totient is φ = 79540475904.

The previous prime is 242459680223. The next prime is 242459680327. The reversal of 242459680224 is 422086954242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242459680223) 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, 1481382 + ... + 1636890.

It is an arithmetic number, because the mean of its divisors is an integer number (6735526875).

Almost surely, 2^242459680224 is an apocalyptic number.

242459680224 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 242459680224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323305290000).

242459680224 is an abundant number, since it is smaller than the sum of its proper divisors (404150899776).

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

242459680224 is a wasteful number, since it uses less digits than its factorization.

242459680224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155780 (or 155772 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 242459680224 in words is "two hundred forty-two billion, four hundred fifty-nine million, six hundred eighty thousand, two hundred twenty-four".