2768541057 has 12 divisors (see below), whose sum is σ = 4136900820. Its totient is φ = 1782049248.

The previous prime is 2768541049. The next prime is 2768541077. The reversal of 2768541057 is 7501458672.

It can be written as a sum of positive squares in 2 ways, for example, as 1067720976 + 1700820081 = 32676^2 + 41241^2 .

It is not a de Polignac number, because 2768541057 - 2³ = 2768541049 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2768541007) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5303458 + ... + 5303979.

It is an arithmetic number, because the mean of its divisors is an integer number (344741735).

Almost surely, 2^2768541057 is an apocalyptic number.

It is an amenable number.

2768541057 is a deficient number, since it is larger than the sum of its proper divisors (1368359763).

2768541057 is a wasteful number, since it uses less digits than its factorization.

2768541057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10607472 (or 10607469 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 2768541057 is about 52616.9274758608. The cubic root of 2768541057 is about 1404.1612682142.

The spelling of 2768541057 in words is "two billion, seven hundred sixty-eight million, five hundred forty-one thousand, fifty-seven".