242435042010 has 192 divisors, whose sum is σ = 754765869312. Its totient is φ = 54842075136.

The previous prime is 242435041999. The next prime is 242435042033. The reversal of 242435042010 is 10240534242.

242435042010 is a `hidden beast` number, since 2 + 424 + 35 + 0 + 4 + 201 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1576504 + ... + 1723436.

It is an arithmetic number, because the mean of its divisors is an integer number (3931072236).

Almost surely, 2^242435042010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242435042010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377382934656).

242435042010 is an abundant number, since it is smaller than the sum of its proper divisors (512330827302).

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

242435042010 is a wasteful number, since it uses less digits than its factorization.

242435042010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147059 (or 147047 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 242435042010 its reverse (10240534242), we get a palindrome (252675576252).

The spelling of 242435042010 in words is "two hundred forty-two billion, four hundred thirty-five million, forty-two thousand, ten".