2584919401 has 2 divisors, whose sum is σ = 2584919402. Its totient is φ = 2584919400.

The previous prime is 2584919357. The next prime is 2584919509. The reversal of 2584919401 is 1049194852.

2584919401 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., 2582672400 + 2247001 = 50820^2 + 1499^2 .

It is a cyclic number.

It is not a de Polignac number, because 2584919401 - 2²³ = 2576530793 is a prime.

It is not a weakly prime, because it can be changed into another prime (2584911401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292459700 + 1292459701.

It is an arithmetic number, because the mean of its divisors is an integer number (1292459701).

Almost surely, 2^2584919401 is an apocalyptic number.

It is an amenable number.

2584919401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2584919401 is an equidigital number, since it uses as much as digits as its factorization.

2584919401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 2584919401 is about 50842.1026414132. The cubic root of 2584919401 is about 1372.4051382618.

The spelling of 2584919401 in words is "two billion, five hundred eighty-four million, nine hundred nineteen thousand, four hundred one".