2648360496384 has 144 divisors (see below), whose sum is σ = 8292354618240. Its totient is φ = 830858158080.

The previous prime is 2648360496323. The next prime is 2648360496437. The reversal of 2648360496384 is 4836940638462.

2648360496384 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 3 + 60 + 496 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 11151732 + ... + 11386739.

It is an arithmetic number, because the mean of its divisors is an integer number (57585795960).

Almost surely, 2^{2648360496384} is an apocalyptic number.

2648360496384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2648360496384 is an abundant number, since it is smaller than the sum of its proper divisors (5643994121856).

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

2648360496384 is a wasteful number, since it uses less digits than its factorization.

2648360496384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22538513 (or 22538493 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 63.

The spelling of 2648360496384 in words is "two trillion, six hundred forty-eight billion, three hundred sixty million, four hundred ninety-six thousand, three hundred eighty-four".