242510532048 has 240 divisors, whose sum is σ = 741084888960. Its totient is φ = 73810953216.

The previous prime is 242510532041. The next prime is 242510532067. The reversal of 242510532048 is 840235015242.

242510532048 is a `hidden beast` number, since 242 + 51 + 0 + 5 + 320 + 48 = 666.

It is a super-2 number, since 2×242510532048² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242510532041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6476163 + ... + 6513501.

It is an arithmetic number, because the mean of its divisors is an integer number (3087853704).

Almost surely, 2^242510532048 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 242510532048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370542444480).

242510532048 is an abundant number, since it is smaller than the sum of its proper divisors (498574356912).

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

242510532048 is a wasteful number, since it uses less digits than its factorization.

242510532048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37466 (or 37457 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 242510532048 in words is "two hundred forty-two billion, five hundred ten million, five hundred thirty-two thousand, forty-eight".