240078240 has 144 divisors (see below), whose sum is σ = 847665000. Its totient is φ = 61802496.

The previous prime is 240078221. The next prime is 240078253. The reversal of 240078240 is 42870042.

240078240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 121616784 + 118461456 = 11028^2 + 10884^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×240078240² = 115275122642995200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38886 + ... + 44634.

Almost surely, 2^240078240 is an apocalyptic number.

240078240 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 240078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423832500).

240078240 is an abundant number, since it is smaller than the sum of its proper divisors (607586760).

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

240078240 is a wasteful number, since it uses less digits than its factorization.

240078240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5799 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 240078240 is about 15494.4583642023. The cubic root of 240078240 is about 621.5140243736.

The spelling of 240078240 in words is "two hundred forty million, seventy-eight thousand, two hundred forty".