242784408222720 has 4224 divisors, whose sum is σ = 1108577643264000. Its totient is φ = 50622031724544.

The previous prime is 242784408222691. The next prime is 242784408222737. The reversal of 242784408222720 is 27222804487242.

242784408222720 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 8 + 4 + 408 + 2 + 227 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 593604909876 + ... + 593604910284.

Almost surely, 2^{242784408222720} is an apocalyptic number.

242784408222720 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 242784408222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554288821632000).

242784408222720 is an abundant number, since it is smaller than the sum of its proper divisors (865793235041280).

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

242784408222720 is a wasteful number, since it uses less digits than its factorization.

242784408222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 12845056, while the sum is 54.

The spelling of 242784408222720 in words is "two hundred forty-two trillion, seven hundred eighty-four billion, four hundred eight million, two hundred twenty-two thousand, seven hundred twenty".