240008080 has 80 divisors (see below), whose sum is σ = 607929840. Its totient is φ = 87588864.

The previous prime is 240008077. The next prime is 240008123. The reversal of 240008080 is 80800042.

240008080 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 8 ways, for example, as 32993536 + 207014544 = 5744^2 + 14388^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91264 + ... + 93856.

It is an arithmetic number, because the mean of its divisors is an integer number (7599123).

Almost surely, 2^240008080 is an apocalyptic number.

240008080 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 240008080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303964920).

240008080 is an abundant number, since it is smaller than the sum of its proper divisors (367921760).

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

240008080 is a wasteful number, since it uses less digits than its factorization.

240008080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 240008080 is about 15492.1941635134. The cubic root of 240008080 is about 621.4534751232.

The spelling of 240008080 in words is "two hundred forty million, eight thousand, eighty".