2564728841 has 2 divisors, whose sum is σ = 2564728842. Its totient is φ = 2564728840.

The previous prime is 2564728807. The next prime is 2564728871. The reversal of 2564728841 is 1488274652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1705359616 + 859369225 = 41296^2 + 29315^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2564728841 is a prime.

It is not a weakly prime, because it can be changed into another prime (2564728871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282364420 + 1282364421.

It is an arithmetic number, because the mean of its divisors is an integer number (1282364421).

Almost surely, 2^2564728841 is an apocalyptic number.

It is an amenable number.

2564728841 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564728841 is an equidigital number, since it uses as much as digits as its factorization.

2564728841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 860160, while the sum is 47.

The square root of 2564728841 is about 50643.1519654928. The cubic root of 2564728841 is about 1368.8225521866.

The spelling of 2564728841 in words is "two billion, five hundred sixty-four million, seven hundred twenty-eight thousand, eight hundred forty-one".