2557759680 has 672 divisors, whose sum is σ = 10792943616. Its totient is φ = 564350976.

The previous prime is 2557759663. The next prime is 2557759709. The reversal of 2557759680 is 869577552.

2557759680 is a `hidden beast` number, since 2 + 5 + 577 + 5 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20139777 + ... + 20139903.

It is an arithmetic number, because the mean of its divisors is an integer number (16060928).

Almost surely, 2^2557759680 is an apocalyptic number.

2557759680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2557759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396471808).

2557759680 is an abundant number, since it is smaller than the sum of its proper divisors (8235183936).

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

2557759680 is a wasteful number, since it uses less digits than its factorization.

2557759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The square root of 2557759680 is about 50574.2986110534. The cubic root of 2557759680 is about 1367.5815894914.

The spelling of 2557759680 in words is "two billion, five hundred fifty-seven million, seven hundred fifty-nine thousand, six hundred eighty".