242464464704 has 224 divisors, whose sum is σ = 658894694400. Its totient is φ = 85602908160.

The previous prime is 242464464703. The next prime is 242464464733. The reversal of 242464464704 is 407464464242.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242464464701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2097242 + ... + 2209830.

Almost surely, 2^242464464704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242464464704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329447347200).

242464464704 is an abundant number, since it is smaller than the sum of its proper divisors (416430229696).

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

242464464704 is a wasteful number, since it uses less digits than its factorization.

242464464704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112661 (or 112651 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 47.

The spelling of 242464464704 in words is "two hundred forty-two billion, four hundred sixty-four million, four hundred sixty-four thousand, seven hundred four".