240846648042 has 256 divisors, whose sum is σ = 665952731136. Its totient is φ = 56039040000.

The previous prime is 240846648019. The next prime is 240846648089.

240846648042 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 240846647982 and 240846648000.

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 127 ways as a sum of consecutive naturals, for example, 102443167 + ... + 102445517.

It is an arithmetic number, because the mean of its divisors is an integer number (2601377856).

Almost surely, 2^240846648042 is an apocalyptic number.

240846648042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 240846648042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332976365568).

240846648042 is an abundant number, since it is smaller than the sum of its proper divisors (425106083094).

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

240846648042 is a wasteful number, since it uses less digits than its factorization.

240846648042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885.

The product of its (nonzero) digits is 2359296, while the sum is 48.

It can be divided in two parts, 240846 and 648042, that added together give a palindrome (888888).

The spelling of 240846648042 in words is "two hundred forty billion, eight hundred forty-six million, six hundred forty-eight thousand, forty-two".