242104761864 has 64 divisors (see below), whose sum is σ = 768586550400. Its totient is φ = 69172788672.

The previous prime is 242104761841. The next prime is 242104761869. The reversal of 242104761864 is 468167401242.

242104761864 is a `hidden beast` number, since 2 + 4 + 21 + 0 + 4 + 7 + 618 + 6 + 4 = 666.

It is a super-4 number, since 4×242104761864⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is not an unprimeable number, because it can be changed into a prime (242104761869) 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, 80059587 + ... + 80062610.

It is an arithmetic number, because the mean of its divisors is an integer number (12009164850).

Almost surely, 2^242104761864 is an apocalyptic number.

242104761864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242104761864 is an abundant number, since it is smaller than the sum of its proper divisors (526481788536).

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

242104761864 is a wasteful number, since it uses less digits than its factorization.

242104761864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160122219 (or 160122209 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 242104761864 in words is "two hundred forty-two billion, one hundred four million, seven hundred sixty-one thousand, eight hundred sixty-four".