242442040240 has 80 divisors (see below), whose sum is σ = 572754207456. Its totient is φ = 95427072000.

The previous prime is 242442040223. The next prime is 242442040249. The reversal of 242442040240 is 42040244242.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×242442040240³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242442040199 and 242442040208.

It is not an unprimeable number, because it can be changed into a prime (242442040249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1225000 + ... + 1409080.

Almost surely, 2^242442040240 is an apocalyptic number.

242442040240 is a gapful number since it is divisible by the number (20) 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 242442040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286377103728).

242442040240 is an abundant number, since it is smaller than the sum of its proper divisors (330312167216).

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

242442040240 is a wasteful number, since it uses less digits than its factorization.

242442040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184358 (or 184352 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 242442040240 its reverse (42040244242), we get a palindrome (284482284482).

The spelling of 242442040240 in words is "two hundred forty-two billion, four hundred forty-two million, forty thousand, two hundred forty".