242434381536 has 288 divisors, whose sum is σ = 735256424448. Its totient is φ = 78532623360.

The previous prime is 242434381493. The next prime is 242434381543. The reversal of 242434381536 is 635183434242.

242434381536 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 34 + 3 + 81 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 242434381491 and 242434381500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90223585 + ... + 90226271.

It is an arithmetic number, because the mean of its divisors is an integer number (2552973696).

Almost surely, 2^242434381536 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 242434381536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367628212224).

242434381536 is an abundant number, since it is smaller than the sum of its proper divisors (492822042912).

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

242434381536 is a wasteful number, since it uses less digits than its factorization.

242434381536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3016 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 242434381536 in words is "two hundred forty-two billion, four hundred thirty-four million, three hundred eighty-one thousand, five hundred thirty-six".