2627328401 has 2 divisors, whose sum is σ = 2627328402. Its totient is φ = 2627328400.

The previous prime is 2627328383. The next prime is 2627328413. The reversal of 2627328401 is 1048237262.

2627328401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1315150225 + 1312178176 = 36265^2 + 36224^2 .

It is a cyclic number.

It is not a de Polignac number, because 2627328401 - 2¹⁰ = 2627327377 is a prime.

It is not a weakly prime, because it can be changed into another prime (2621328401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1313664200 + 1313664201.

It is an arithmetic number, because the mean of its divisors is an integer number (1313664201).

Almost surely, 2^2627328401 is an apocalyptic number.

It is an amenable number.

2627328401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2627328401 is an equidigital number, since it uses as much as digits as its factorization.

2627328401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 2627328401 is about 51257.4716602370. The cubic root of 2627328401 is about 1379.8698331682.

The spelling of 2627328401 in words is "two billion, six hundred twenty-seven million, three hundred twenty-eight thousand, four hundred one".