2541906361 has 2 divisors, whose sum is σ = 2541906362. Its totient is φ = 2541906360.

The previous prime is 2541906359. The next prime is 2541906373. The reversal of 2541906361 is 1636091452.

2541906361 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., 1931075136 + 610831225 = 43944^2 + 24715^2 .

It is a cyclic number.

It is not a de Polignac number, because 2541906361 - 2¹ = 2541906359 is a prime.

It is a super-2 number, since 2×2541906361² = 12922575896184524642, which contains 22 as substring.

Together with 2541906359, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2541906361.

It is not a weakly prime, because it can be changed into another prime (2541901361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270953180 + 1270953181.

It is an arithmetic number, because the mean of its divisors is an integer number (1270953181).

Almost surely, 2^2541906361 is an apocalyptic number.

It is an amenable number.

2541906361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2541906361 is an equidigital number, since it uses as much as digits as its factorization.

2541906361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 2541906361 is about 50417.3220332060. The cubic root of 2541906361 is about 1364.7502503438.

The spelling of 2541906361 in words is "two billion, five hundred forty-one million, nine hundred six thousand, three hundred sixty-one".