2648026656 has 576 divisors, whose sum is σ = 9411292800. Its totient is φ = 696729600.

The previous prime is 2648026621. The next prime is 2648026673. The reversal of 2648026656 is 6566208462.

2648026656 is a `hidden beast` number, since 264 + 80 + 266 + 56 = 666.

2648026656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64585996 + ... + 64586036.

It is an arithmetic number, because the mean of its divisors is an integer number (16339050).

Almost surely, 2^2648026656 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 2648026656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705646400).

2648026656 is an abundant number, since it is smaller than the sum of its proper divisors (6763266144).

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

2648026656 is a wasteful number, since it uses less digits than its factorization.

2648026656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2648026656 is about 51458.9803241378. The cubic root of 2648026656 is about 1383.4839255550.

The spelling of 2648026656 in words is "two billion, six hundred forty-eight million, twenty-six thousand, six hundred fifty-six".