2648917656 has 288 divisors, whose sum is σ = 9176544000. Its totient is φ = 684573120.

The previous prime is 2648917633. The next prime is 2648917657. The reversal of 2648917656 is 6567198462.

2648917656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2648917657) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13311045 + ... + 13311243.

It is an arithmetic number, because the mean of its divisors is an integer number (31863000).

Almost surely, 2^2648917656 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 2648917656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588272000).

2648917656 is an abundant number, since it is smaller than the sum of its proper divisors (6527626344).

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

2648917656 is a wasteful number, since it uses less digits than its factorization.

2648917656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 222 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 2648917656 is about 51467.6369770364. The cubic root of 2648917656 is about 1383.6390783168.

The spelling of 2648917656 in words is "two billion, six hundred forty-eight million, nine hundred seventeen thousand, six hundred fifty-six".