240333040 has 40 divisors (see below), whose sum is σ = 562151520. Its totient is φ = 95552256.

The previous prime is 240333031. The next prime is 240333047. The reversal of 240333040 is 40333042.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 240332999 and 240333017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240333047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4366 + ... + 22354.

It is an arithmetic number, because the mean of its divisors is an integer number (14053788).

Almost surely, 2^240333040 is an apocalyptic number.

240333040 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 240333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281075760).

240333040 is an abundant number, since it is smaller than the sum of its proper divisors (321818480).

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

240333040 is a wasteful number, since it uses less digits than its factorization.

240333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18169 (or 18163 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 240333040 is about 15502.6784782501. The cubic root of 240333040 is about 621.7338218616.

Adding to 240333040 its reverse (40333042), we get a palindrome (280666082).

The spelling of 240333040 in words is "two hundred forty million, three hundred thirty-three thousand, forty".