2557953648 has 80 divisors (see below), whose sum is σ = 7661533440. Its totient is φ = 815576256.

The previous prime is 2557953617. The next prime is 2557953649. The reversal of 2557953648 is 8463597552.

2557953648 is a `hidden beast` number, since 2 + 5 + 579 + 5 + 3 + 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 = 2557953594 and 2557953603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557953649) 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, 118786 + ... + 138657.

It is an arithmetic number, because the mean of its divisors is an integer number (95769168).

Almost surely, 2^2557953648 is an apocalyptic number.

It is an amenable number.

2557953648 is an abundant number, since it is smaller than the sum of its proper divisors (5103579792).

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

2557953648 is a wasteful number, since it uses less digits than its factorization.

2557953648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257483 (or 257471 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The square root of 2557953648 is about 50576.2162285792. The cubic root of 2557953648 is about 1367.6161588533.

The spelling of 2557953648 in words is "two billion, five hundred fifty-seven million, nine hundred fifty-three thousand, six hundred forty-eight".