2557568448 has 168 divisors, whose sum is σ = 7745593856. Its totient is φ = 805593600.

The previous prime is 2557568443. The next prime is 2557568459. The reversal of 2557568448 is 8448657552.

2557568448 is a `hidden beast` number, since 2 + 5 + 575 + 68 + 4 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2557568394 and 2557568403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557568441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766143 + ... + 769473.

Almost surely, 2^2557568448 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 2557568448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872796928).

2557568448 is an abundant number, since it is smaller than the sum of its proper divisors (5188025408).

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

2557568448 is a wasteful number, since it uses less digits than its factorization.

2557568448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3410 counting only the distinct ones).

The product of its digits is 10752000, while the sum is 54.

The square root of 2557568448 is about 50572.4079711457. The cubic root of 2557568448 is about 1367.5475060338.

The spelling of 2557568448 in words is "two billion, five hundred fifty-seven million, five hundred sixty-eight thousand, four hundred forty-eight".