2480016075264 has 1920 divisors, whose sum is σ = 9834250567680. Its totient is φ = 600469438464.

The previous prime is 2480016075233. The next prime is 2480016075311. The reversal of 2480016075264 is 4625706100842.

2480016075264 is a `hidden beast` number, since 2 + 480 + 0 + 1 + 60 + 7 + 52 + 64 = 666.

It is a super-2 number, since 2×2480016075264² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19527685569 + ... + 19527685695.

It is an arithmetic number, because the mean of its divisors is an integer number (5122005504).

Almost surely, 2^{2480016075264} is an apocalyptic number.

2480016075264 is a gapful number since it is divisible by the number (24) 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 2480016075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917125283840).

2480016075264 is an abundant number, since it is smaller than the sum of its proper divisors (7354234492416).

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

2480016075264 is a wasteful number, since it uses less digits than its factorization.

2480016075264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 214 counting only the distinct ones).

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

The spelling of 2480016075264 in words is "two trillion, four hundred eighty billion, sixteen million, seventy-five thousand, two hundred sixty-four".