242669646560 has 192 divisors, whose sum is σ = 631992098304. Its totient is φ = 87322060800.

The previous prime is 242669646497. The next prime is 242669646647. The reversal of 242669646560 is 65646966242.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 242669646496 and 242669646505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69115205 + ... + 69118715.

It is an arithmetic number, because the mean of its divisors is an integer number (3291625512).

Almost surely, 2^242669646560 is an apocalyptic number.

242669646560 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 242669646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315996049152).

242669646560 is an abundant number, since it is smaller than the sum of its proper divisors (389322451744).

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

242669646560 is a wasteful number, since it uses less digits than its factorization.

242669646560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 56.

The spelling of 242669646560 in words is "two hundred forty-two billion, six hundred sixty-nine million, six hundred forty-six thousand, five hundred sixty".