2164747901 has 2 divisors, whose sum is σ = 2164747902. Its totient is φ = 2164747900.

The previous prime is 2164747859. The next prime is 2164747903. The reversal of 2164747901 is 1097474612.

2164747901 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., 1455804025 + 708943876 = 38155^2 + 26626^2 .

It is a cyclic number.

It is not a de Polignac number, because 2164747901 - 2²² = 2160553597 is a prime.

It is a super-2 number, since 2×2164747901² = 9372266949767811602, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 2164747903, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2164747903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1082373950 + 1082373951.

It is an arithmetic number, because the mean of its divisors is an integer number (1082373951).

Almost surely, 2^2164747901 is an apocalyptic number.

It is an amenable number.

2164747901 is a deficient number, since it is larger than the sum of its proper divisors (1).

2164747901 is an equidigital number, since it uses as much as digits as its factorization.

2164747901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 2164747901 is about 46526.8513978756. The cubic root of 2164747901 is about 1293.6072544757.

The spelling of 2164747901 in words is "two billion, one hundred sixty-four million, seven hundred forty-seven thousand, nine hundred one".