2448056647680 has 1216 divisors, whose sum is σ = 9792506757120. Its totient is φ = 509607936000.

The previous prime is 2448056647679. The next prime is 2448056647681. The reversal of 2448056647680 is 867466508442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2448056647679) and next prime (2448056647681).

It is a tau number, because it is divible by the number of its divisors (1216).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (2448056647681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16212295605 + ... + 16212295755.

It is an arithmetic number, because the mean of its divisors is an integer number (8053048320).

Almost surely, 2^{2448056647680} is an apocalyptic number.

2448056647680 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 2448056647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896253378560).

2448056647680 is an abundant number, since it is smaller than the sum of its proper divisors (7344450109440).

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

2448056647680 is an equidigital number, since it uses as much as digits as its factorization.

2448056647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 2448056647680 in words is "two trillion, four hundred forty-eight billion, fifty-six million, six hundred forty-seven thousand, six hundred eighty".