242712391680 has 1040 divisors, whose sum is σ = 972779410944. Its totient is φ = 57383976960.

The previous prime is 242712391679. The next prime is 242712391697. The reversal of 242712391680 is 86193217242.

242712391680 is a `hidden beast` number, since 242 + 7 + 12 + 391 + 6 + 8 + 0 = 666.

242712391680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 857640819 + ... + 857641101.

Almost surely, 2^242712391680 is an apocalyptic number.

242712391680 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 242712391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486389705472).

242712391680 is an abundant number, since it is smaller than the sum of its proper divisors (730067019264).

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

242712391680 is a wasteful number, since it uses less digits than its factorization.

242712391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 242712391680 in words is "two hundred forty-two billion, seven hundred twelve million, three hundred ninety-one thousand, six hundred eighty".