2648160617760 has 1152 divisors, whose sum is σ = 11184090785280. Its totient is φ = 590373826560.

The previous prime is 2648160617743. The next prime is 2648160617857. The reversal of 2648160617760 is 677160618462.

2648160617760 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 16 + 0 + 617 + 7 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2648160617697 and 2648160617706.

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, 702987397 + ... + 702991163.

It is an arithmetic number, because the mean of its divisors is an integer number (9708412140).

Almost surely, 2^{2648160617760} is an apocalyptic number.

2648160617760 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 2648160617760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592045392640).

2648160617760 is an abundant number, since it is smaller than the sum of its proper divisors (8535930167520).

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

2648160617760 is an equidigital number, since it uses as much as digits as its factorization.

2648160617760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 2648160617760 in words is "two trillion, six hundred forty-eight billion, one hundred sixty million, six hundred seventeen thousand, seven hundred sixty".