242666512 has 80 divisors (see below), whose sum is σ = 537108480. Its totient is φ = 105206400.

The previous prime is 242666507. The next prime is 242666521. The reversal of 242666512 is 215666242.

It is a super-2 number, since 2×242666512² = 117774072092492288, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430743 + ... + 431305.

It is an arithmetic number, because the mean of its divisors is an integer number (6713856).

Almost surely, 2^242666512 is an apocalyptic number.

242666512 is a gapful number since it is divisible by the number (22) 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 242666512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268554240).

242666512 is an abundant number, since it is smaller than the sum of its proper divisors (294441968).

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

242666512 is a wasteful number, since it uses less digits than its factorization.

242666512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 686 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 242666512 is about 15577.7569630547. The cubic root of 242666512 is about 623.7395499740.

The spelling of 242666512 in words is "two hundred forty-two million, six hundred sixty-six thousand, five hundred twelve".