2480559379200 has 2592 divisors, whose sum is σ = 11806081862400. Its totient is φ = 504989614080.

The previous prime is 2480559379163. The next prime is 2480559379247. The reversal of 2480559379200 is 29739550842.

2480559379200 is a `hidden beast` number, since 2 + 4 + 80 + 559 + 3 + 7 + 9 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2734905147 + ... + 2734906053.

Almost surely, 2^{2480559379200} is an apocalyptic number.

2480559379200 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 2480559379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903040931200).

2480559379200 is an abundant number, since it is smaller than the sum of its proper divisors (9325522483200).

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

2480559379200 is a wasteful number, since it uses less digits than its factorization.

2480559379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2480559379200 in words is "two trillion, four hundred eighty billion, five hundred fifty-nine million, three hundred seventy-nine thousand, two hundred".