2557467648 has 176 divisors, whose sum is σ = 7625648160. Its totient is φ = 846692352.

The previous prime is 2557467643. The next prime is 2557467673. The reversal of 2557467648 is 8467647552.

It is a happy number.

2557467648 is a `hidden beast` number, since 2 + 5 + 574 + 6 + 7 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2557467594 and 2557467603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557467643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6441786 + ... + 6442182.

Almost surely, 2^2557467648 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 2557467648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812824080).

2557467648 is an abundant number, since it is smaller than the sum of its proper divisors (5068180512).

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

2557467648 is a wasteful number, since it uses less digits than its factorization.

2557467648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 635 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The square root of 2557467648 is about 50571.4113704571. The cubic root of 2557467648 is about 1367.5295396721.

The spelling of 2557467648 in words is "two billion, five hundred fifty-seven million, four hundred sixty-seven thousand, six hundred forty-eight".