2735460401 has 2 divisors, whose sum is σ = 2735460402. Its totient is φ = 2735460400.

The previous prime is 2735460391. The next prime is 2735460407. The reversal of 2735460401 is 1040645372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2170162225 + 565298176 = 46585^2 + 23776^2 .

It is a cyclic number.

It is not a de Polignac number, because 2735460401 - 2¹⁴ = 2735444017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2735460407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1367730200 + 1367730201.

It is an arithmetic number, because the mean of its divisors is an integer number (1367730201).

Almost surely, 2^2735460401 is an apocalyptic number.

It is an amenable number.

2735460401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2735460401 is an equidigital number, since it uses as much as digits as its factorization.

2735460401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 2735460401 is about 52301.6290472869. The cubic root of 2735460401 is about 1398.5461780544.

The spelling of 2735460401 in words is "two billion, seven hundred thirty-five million, four hundred sixty thousand, four hundred one".