242718135137280 has 1760 divisors, whose sum is σ = 963649060704000. Its totient is φ = 57929257451520.

The previous prime is 242718135137161. The next prime is 242718135137297. The reversal of 242718135137280 is 82731531817242.

242718135137280 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 1 + 8 + 1 + 351 + 3 + 7 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80933021221 + ... + 80933024219.

It is an arithmetic number, because the mean of its divisors is an integer number (547527875400).

Almost surely, 2^{242718135137280} is an apocalyptic number.

242718135137280 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 242718135137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481824530352000).

242718135137280 is an abundant number, since it is smaller than the sum of its proper divisors (720930925566720).

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

242718135137280 is a wasteful number, since it uses less digits than its factorization.

242718135137280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 242718135137280 in words is "two hundred forty-two trillion, seven hundred eighteen billion, one hundred thirty-five million, one hundred thirty-seven thousand, two hundred eighty".