242919804987936 has 1152 divisors, whose sum is σ = 795781415520000. Its totient is φ = 71817454485504.

The previous prime is 242919804987913. The next prime is 242919804987941. The reversal of 242919804987936 is 639789408919242.

242919804987936 is a `hidden beast` number, since 2 + 4 + 2 + 9 + 1 + 98 + 0 + 498 + 7 + 9 + 36 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108591775810 + ... + 108591778046.

It is an arithmetic number, because the mean of its divisors is an integer number (690782478750).

Almost surely, 2^{242919804987936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242919804987936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397890707760000).

242919804987936 is an abundant number, since it is smaller than the sum of its proper divisors (552861610532064).

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

242919804987936 is a wasteful number, since it uses less digits than its factorization.

242919804987936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 81.

The spelling of 242919804987936 in words is "two hundred forty-two trillion, nine hundred nineteen billion, eight hundred four million, nine hundred eighty-seven thousand, nine hundred thirty-six".