2584401201 has 8 divisors (see below), whose sum is σ = 3828742560. Its totient is φ = 1722934116.

The previous prime is 2584401199. The next prime is 2584401229. The reversal of 2584401201 is 1021044852.

2584401201 is a `hidden beast` number, since 2 + 58 + 4 + 401 + 201 = 666.

It is not a de Polignac number, because 2584401201 - 2¹ = 2584401199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 95718563 = 2584401201 / (2 + 5 + 8 + 4 + 4 + 0 + 1 + 2 + 0 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2584401241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47859255 + ... + 47859308.

It is an arithmetic number, because the mean of its divisors is an integer number (478592820).

Almost surely, 2^2584401201 is an apocalyptic number.

It is an amenable number.

2584401201 is a deficient number, since it is larger than the sum of its proper divisors (1244341359).

2584401201 is an equidigital number, since it uses as much as digits as its factorization.

2584401201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95718572 (or 95718566 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2584401201 is about 50837.0062159447. The cubic root of 2584401201 is about 1372.3134232331.

The spelling of 2584401201 in words is "two billion, five hundred eighty-four million, four hundred one thousand, two hundred one".