2656975248 has 120 divisors (see below), whose sum is σ = 7524574200. Its totient is φ = 875169792.

The previous prime is 2656975199. The next prime is 2656975259. The reversal of 2656975248 is 8425796562.

2656975248 is a `hidden beast` number, since 2 + 6 + 569 + 75 + 2 + 4 + 8 = 666.

2656975248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2339850384 + 317124864 = 48372^2 + 17808^2 .

Its product of digits (7257600) is a multiple of the sum of its prime divisors (840).

It is a junction number, because it is equal to n+sod(n) for n = 2656975194 and 2656975203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6496068 + ... + 6496476.

It is an arithmetic number, because the mean of its divisors is an integer number (62704785).

Almost surely, 2^2656975248 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 2656975248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762287100).

2656975248 is an abundant number, since it is smaller than the sum of its proper divisors (4867598952).

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

2656975248 is a wasteful number, since it uses less digits than its factorization.

2656975248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 840 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 2656975248 is about 51545.8557791022. The cubic root of 2656975248 is about 1385.0405958898.

The spelling of 2656975248 in words is "two billion, six hundred fifty-six million, nine hundred seventy-five thousand, two hundred forty-eight".