2405685680 has 40 divisors (see below), whose sum is σ = 5595265392. Its totient is φ = 961922304.

The previous prime is 2405685677. The next prime is 2405685707. The reversal of 2405685680 is 865865042.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403199 + ... + 409121.

Almost surely, 2^2405685680 is an apocalyptic number.

2405685680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2405685680 is an abundant number, since it is smaller than the sum of its proper divisors (3189579712).

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

2405685680 is a wasteful number, since it uses less digits than its factorization.

2405685680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11013 (or 11007 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The square root of 2405685680 is about 49047.7897565222. The cubic root of 2405685680 is about 1339.9223390055.

The spelling of 2405685680 in words is "two billion, four hundred five million, six hundred eighty-five thousand, six hundred eighty".