242510304 has 72 divisors (see below), whose sum is σ = 676316088. Its totient is φ = 76072960.

The previous prime is 242510299. The next prime is 242510311. The reversal of 242510304 is 403015242.

242510304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242510304² = 117622495092344832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23374 + ... + 32114.

It is an arithmetic number, because the mean of its divisors is an integer number (9393279).

Almost surely, 2^242510304 is an apocalyptic number.

242510304 is a gapful number since it is divisible by the number (24) 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 242510304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338158044).

242510304 is an abundant number, since it is smaller than the sum of its proper divisors (433805784).

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

242510304 is a wasteful number, since it uses less digits than its factorization.

242510304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8788 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 242510304 is about 15572.7423403844. The cubic root of 242510304 is about 623.6056844746.

Adding to 242510304 its reverse (403015242), we get a palindrome (645525546).

The spelling of 242510304 in words is "two hundred forty-two million, five hundred ten thousand, three hundred four".