242562386626560 has 6048 divisors, whose sum is σ = 1192210337223360. Its totient is φ = 46320494837760.

The previous prime is 242562386626501. The next prime is 242562386626607. The reversal of 242562386626560 is 65626683265242.

242562386626560 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 6 + 2 + 3 + 8 + 6 + 62 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×242562386626560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1068556769167 + ... + 1068556769393.

It is an arithmetic number, because the mean of its divisors is an integer number (197124725070).

Almost surely, 2^{242562386626560} is an apocalyptic number.

242562386626560 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 242562386626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596105168611680).

242562386626560 is an abundant number, since it is smaller than the sum of its proper divisors (949647950596800).

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

242562386626560 is a wasteful number, since it uses less digits than its factorization.

242562386626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 63.

The spelling of 242562386626560 in words is "two hundred forty-two trillion, five hundred sixty-two billion, three hundred eighty-six million, six hundred twenty-six thousand, five hundred sixty".