2405964487680 has 440 divisors, whose sum is σ = 9284838474912. Its totient is φ = 592236085248.

The previous prime is 2405964487673. The next prime is 2405964487711. The reversal of 2405964487680 is 867844695042.

2405964487680 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 96 + 4 + 487 + 68 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5168229 + ... + 5614491.

Almost surely, 2^{2405964487680} is an apocalyptic number.

2405964487680 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 2405964487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642419237456).

2405964487680 is an abundant number, since it is smaller than the sum of its proper divisors (6878873987232).

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

2405964487680 is a wasteful number, since it uses less digits than its factorization.

2405964487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446313 (or 446286 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 2405964487680 in words is "two trillion, four hundred five billion, nine hundred sixty-four million, four hundred eighty-seven thousand, six hundred eighty".