2480971584960 has 1792 divisors, whose sum is σ = 10487538892800. Its totient is φ = 545539276800.

The previous prime is 2480971584851. The next prime is 2480971584977. The reversal of 2480971584960 is 694851790842.

2480971584960 is a `hidden beast` number, since 2 + 4 + 8 + 0 + 97 + 1 + 58 + 496 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 4743731259 + ... + 4743731781.

Almost surely, 2^{2480971584960} is an apocalyptic number.

2480971584960 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 2480971584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243769446400).

2480971584960 is an abundant number, since it is smaller than the sum of its proper divisors (8006567307840).

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

2480971584960 is a wasteful number, since it uses less digits than its factorization.

2480971584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 2480971584960 in words is "two trillion, four hundred eighty billion, nine hundred seventy-one million, five hundred eighty-four thousand, nine hundred sixty".