2405083207680 has 1344 divisors, whose sum is σ = 9418589107200. Its totient is φ = 586925015040.

The previous prime is 2405083207679. The next prime is 2405083207729. The reversal of 2405083207680 is 867023805042.

2405083207680 is a `hidden beast` number, since 2 + 40 + 508 + 3 + 20 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 4396861167 + ... + 4396861713.

It is an arithmetic number, because the mean of its divisors is an integer number (7007878800).

Almost surely, 2^{2405083207680} is an apocalyptic number.

2405083207680 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 2405083207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709294553600).

2405083207680 is an abundant number, since it is smaller than the sum of its proper divisors (7013505899520).

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

2405083207680 is an equidigital number, since it uses as much as digits as its factorization.

2405083207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2405083207680 in words is "two trillion, four hundred five billion, eighty-three million, two hundred seven thousand, six hundred eighty".