2648846082528 has 240 divisors, whose sum is σ = 8203613418000. Its totient is φ = 836128770048.

The previous prime is 2648846082521. The next prime is 2648846082539. The reversal of 2648846082528 is 8252806488462.

It is a happy number.

2648846082528 is a `hidden beast` number, since 2 + 6 + 48 + 8 + 4 + 60 + 8 + 2 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2648846082521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134387938 + ... + 134407646.

It is an arithmetic number, because the mean of its divisors is an integer number (34181722575).

Almost surely, 2^{2648846082528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2648846082528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101806709000).

2648846082528 is an abundant number, since it is smaller than the sum of its proper divisors (5554767335472).

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

2648846082528 is a wasteful number, since it uses less digits than its factorization.

2648846082528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22479 (or 22462 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 63.

The spelling of 2648846082528 in words is "two trillion, six hundred forty-eight billion, eight hundred forty-six million, eighty-two thousand, five hundred twenty-eight".