2479382887680 has 504 divisors, whose sum is σ = 8939013164928. Its totient is φ = 658589626368.

The previous prime is 2479382887679. The next prime is 2479382887711. The reversal of 2479382887680 is 867882839742.

2479382887680 is a `hidden beast` number, since 2 + 479 + 3 + 8 + 2 + 8 + 8 + 76 + 80 = 666.

It is a super-2 number, since 2×2479382887680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2479382887599 and 2479382887608.

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 55 ways as a sum of consecutive naturals, for example, 245405509 + ... + 245415611.

It is an arithmetic number, because the mean of its divisors is an integer number (17736137232).

Almost surely, 2^{2479382887680} is an apocalyptic number.

2479382887680 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 2479382887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469506582464).

2479382887680 is an abundant number, since it is smaller than the sum of its proper divisors (6459630277248).

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

2479382887680 is an equidigital number, since it uses as much as digits as its factorization.

2479382887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10405 (or 10376 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 2479382887680 in words is "two trillion, four hundred seventy-nine billion, three hundred eighty-two million, eight hundred eighty-seven thousand, six hundred eighty".