240753040 has 80 divisors (see below), whose sum is σ = 621120960. Its totient is φ = 86044160.

The previous prime is 240752999. The next prime is 240753049. The reversal of 240753040 is 40357042.

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

It is a junction number, because it is equal to n+sod(n) for n = 240752996 and 240753014.

It is not an unprimeable number, because it can be changed into a prime (240753049) 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 15 ways as a sum of consecutive naturals, for example, 49602 + ... + 54238.

It is an arithmetic number, because the mean of its divisors is an integer number (7764012).

Almost surely, 2^240753040 is an apocalyptic number.

240753040 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 240753040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310560480).

240753040 is an abundant number, since it is smaller than the sum of its proper divisors (380367920).

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

240753040 is a wasteful number, since it uses less digits than its factorization.

240753040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 240753040 is about 15516.2186115045. The cubic root of 240753040 is about 622.0957865738.

The spelling of 240753040 in words is "two hundred forty million, seven hundred fifty-three thousand, forty".