242270497664 has 128 divisors (see below), whose sum is σ = 537157850880. Its totient is φ = 108085985280.

The previous prime is 242270497663. The next prime is 242270497669. The reversal of 242270497664 is 466794072242.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242270497661) 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, 56379164 + ... + 56383460.

It is an arithmetic number, because the mean of its divisors is an integer number (4196545710).

Almost surely, 2^242270497664 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 242270497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268578925440).

242270497664 is an abundant number, since it is smaller than the sum of its proper divisors (294887353216).

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

242270497664 is a wasteful number, since it uses less digits than its factorization.

242270497664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 53.

The spelling of 242270497664 in words is "two hundred forty-two billion, two hundred seventy million, four hundred ninety-seven thousand, six hundred sixty-four".