2541788657 has 2 divisors, whose sum is σ = 2541788658. Its totient is φ = 2541788656.

The previous prime is 2541788653. The next prime is 2541788671. The reversal of 2541788657 is 7568871452.

2541788657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1888423936 + 653364721 = 43456^2 + 25561^2 .

It is a cyclic number.

It is not a de Polignac number, because 2541788657 - 2² = 2541788653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2541788599 and 2541788608.

It is not a weakly prime, because it can be changed into another prime (2541788651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270894328 + 1270894329.

It is an arithmetic number, because the mean of its divisors is an integer number (1270894329).

Almost surely, 2^2541788657 is an apocalyptic number.

It is an amenable number.

2541788657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2541788657 is an equidigital number, since it uses as much as digits as its factorization.

2541788657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3763200, while the sum is 53.

The square root of 2541788657 is about 50416.1547224697. The cubic root of 2541788657 is about 1364.7291849149.

The spelling of 2541788657 in words is "two billion, five hundred forty-one million, seven hundred eighty-eight thousand, six hundred fifty-seven".