242864455680 has 2048 divisors, whose sum is σ = 1159623475200. Its totient is φ = 46714060800.

The previous prime is 242864455679. The next prime is 242864455681. The reversal of 242864455680 is 86554468242.

242864455680 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 6 + 4 + 4 + 556 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (242864455679) and next prime (242864455681).

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242864455681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7834337265 + ... + 7834337295.

It is an arithmetic number, because the mean of its divisors is an integer number (566222400).

Almost surely, 2^242864455680 is an apocalyptic number.

242864455680 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 242864455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579811737600).

242864455680 is an abundant number, since it is smaller than the sum of its proper divisors (916759019520).

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

242864455680 is a wasteful number, since it uses less digits than its factorization.

242864455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 242864455680 in words is "two hundred forty-two billion, eight hundred sixty-four million, four hundred fifty-five thousand, six hundred eighty".