2481717777280 has 768 divisors, whose sum is σ = 7471203955200. Its totient is φ = 771351330816.

The previous prime is 2481717777277. The next prime is 2481717777311. The reversal of 2481717777280 is 827777171842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4009236811 + ... + 4009237429.

It is an arithmetic number, because the mean of its divisors is an integer number (9728130150).

Almost surely, 2^{2481717777280} is an apocalyptic number.

2481717777280 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 2481717777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735601977600).

2481717777280 is an abundant number, since it is smaller than the sum of its proper divisors (4989486177920).

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

2481717777280 is a wasteful number, since it uses less digits than its factorization.

2481717777280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 17210368, while the sum is 61.

The spelling of 2481717777280 in words is "two trillion, four hundred eighty-one billion, seven hundred seventeen million, seven hundred seventy-seven thousand, two hundred eighty".