242510916816 has 960 divisors, whose sum is σ = 916441344000. Its totient is φ = 61671020544.

The previous prime is 242510916793. The next prime is 242510916871. The reversal of 242510916816 is 618619015242.

242510916816 is a `hidden beast` number, since 2 + 42 + 510 + 9 + 16 + 81 + 6 = 666.

It is a congruent number.

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, 430747351 + ... + 430747913.

It is an arithmetic number, because the mean of its divisors is an integer number (954626400).

Almost surely, 2^242510916816 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 242510916816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458220672000).

242510916816 is an abundant number, since it is smaller than the sum of its proper divisors (673930427184).

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

242510916816 is a wasteful number, since it uses less digits than its factorization.

242510916816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 242510916816 in words is "two hundred forty-two billion, five hundred ten million, nine hundred sixteen thousand, eight hundred sixteen".