240507680 has 72 divisors (see below), whose sum is σ = 660988188. Its totient is φ = 82457088.

The previous prime is 240507671. The next prime is 240507691. The reversal of 240507680 is 86705042.

240507680 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 2 ways, for example, as 239754256 + 753424 = 15484^2 + 868^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7499 + ... + 23178.

Almost surely, 2^240507680 is an apocalyptic number.

240507680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240507680 is an abundant number, since it is smaller than the sum of its proper divisors (420480508).

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

240507680 is a wasteful number, since it uses less digits than its factorization.

240507680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30706 (or 30691 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 240507680 is about 15508.3100304321. The cubic root of 240507680 is about 621.8843814145.

The spelling of 240507680 in words is "two hundred forty million, five hundred seven thousand, six hundred eighty".