2557933668 has 72 divisors (see below), whose sum is σ = 6713674240. Its totient is φ = 851588640.

The previous prime is 2557933667. The next prime is 2557933669. The reversal of 2557933668 is 8663397552.

It is a happy number.

2557933668 is a `hidden beast` number, since 2 + 5 + 579 + 3 + 3 + 6 + 68 = 666.

2557933668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2557933667) and next prime (2557933669).

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

It is not an unprimeable number, because it can be changed into a prime (2557933667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1428918 + ... + 1430706.

Almost surely, 2^2557933668 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 2557933668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356837120).

2557933668 is an abundant number, since it is smaller than the sum of its proper divisors (4155740572).

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

2557933668 is a wasteful number, since it uses less digits than its factorization.

2557933668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3265 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 2557933668 is about 50576.0187045204. The cubic root of 2557933668 is about 1367.6125980588.

The spelling of 2557933668 in words is "two billion, five hundred fifty-seven million, nine hundred thirty-three thousand, six hundred sixty-eight".