242267215680 has 1120 divisors, whose sum is σ = 1044641283840. Its totient is φ = 52115374080.

The previous prime is 242267215661. The next prime is 242267215681. The reversal of 242267215680 is 86512762242.

242267215680 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 67 + 21 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242267215681) 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 159 ways as a sum of consecutive naturals, for example, 215731599 + ... + 215732721.

It is an arithmetic number, because the mean of its divisors is an integer number (932715432).

Almost surely, 2^242267215680 is an apocalyptic number.

242267215680 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 242267215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522320641920).

242267215680 is an abundant number, since it is smaller than the sum of its proper divisors (802374068160).

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

242267215680 is a wasteful number, since it uses less digits than its factorization.

242267215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 242267215680 in words is "two hundred forty-two billion, two hundred sixty-seven million, two hundred fifteen thousand, six hundred eighty".