2540659201 has 2 divisors, whose sum is σ = 2540659202. Its totient is φ = 2540659200.

The previous prime is 2540659183. The next prime is 2540659207. The reversal of 2540659201 is 1029560452.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2079268801 + 461390400 = 45599^2 + 21480^2 .

It is a cyclic number.

It is not a de Polignac number, because 2540659201 - 2¹⁹ = 2540134913 is a prime.

It is not a weakly prime, because it can be changed into another prime (2540659207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270329600 + 1270329601.

It is an arithmetic number, because the mean of its divisors is an integer number (1270329601).

Almost surely, 2^2540659201 is an apocalyptic number.

It is an amenable number.

2540659201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2540659201 is an equidigital number, since it uses as much as digits as its factorization.

2540659201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 2540659201 is about 50404.9521475817. The cubic root of 2540659201 is about 1364.5270136436.

The spelling of 2540659201 in words is "two billion, five hundred forty million, six hundred fifty-nine thousand, two hundred one".