242541684432 has 60 divisors (see below), whose sum is σ = 678814275204. Its totient is φ = 80843128320.

The previous prime is 242541684431. The next prime is 242541684443. The reversal of 242541684432 is 234486145242.

242541684432 is a `hidden beast` number, since 2 + 4 + 2 + 54 + 168 + 4 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94652214336 + 147889470096 = 307656^2 + 384564^2 .

It is a super-2 number, since 2×242541684432² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242541684431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4421332 + ... + 4475852.

Almost surely, 2^242541684432 is an apocalyptic number.

It is an amenable number.

242541684432 is an abundant number, since it is smaller than the sum of its proper divisors (436272590772).

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

242541684432 is a wasteful number, since it uses less digits than its factorization.

242541684432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85428 (or 85419 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 242541684432 in words is "two hundred forty-two billion, five hundred forty-one million, six hundred eighty-four thousand, four hundred thirty-two".