2461680405 has 48 divisors (see below), whose sum is σ = 4356892800. Its totient is φ = 1285468800.

The previous prime is 2461680379. The next prime is 2461680503. The reversal of 2461680405 is 5040861642.

2461680405 is a `hidden beast` number, since 246 + 1 + 6 + 8 + 0 + 405 = 666.

It is not a de Polignac number, because 2461680405 - 2⁸ = 2461680149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2461680405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473470 + ... + 478640.

It is an arithmetic number, because the mean of its divisors is an integer number (90768600).

Almost surely, 2^2461680405 is an apocalyptic number.

It is an amenable number.

2461680405 is a deficient number, since it is larger than the sum of its proper divisors (1895212395).

2461680405 is a wasteful number, since it uses less digits than its factorization.

2461680405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5402 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2461680405 is about 49615.3242960277. The cubic root of 2461680405 is about 1350.2387149882.

The spelling of 2461680405 in words is "two billion, four hundred sixty-one million, six hundred eighty thousand, four hundred five".