2584900081 has 2 divisors, whose sum is σ = 2584900082. Its totient is φ = 2584900080.

The previous prime is 2584900033. The next prime is 2584900091. The reversal of 2584900081 is 1800094852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2584705600 + 194481 = 50840^2 + 441^2 .

It is a cyclic number.

It is not a de Polignac number, because 2584900081 - 2²⁵ = 2551345649 is a prime.

It is a super-2 number, since 2×2584900081² = 13363416857507613122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2584900081.

It is not a weakly prime, because it can be changed into another prime (2584900091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292450040 + 1292450041.

It is an arithmetic number, because the mean of its divisors is an integer number (1292450041).

Almost surely, 2^2584900081 is an apocalyptic number.

It is an amenable number.

2584900081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2584900081 is an equidigital number, since it uses as much as digits as its factorization.

2584900081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 2584900081 is about 50841.9126410484. The cubic root of 2584900081 is about 1372.4017190794.

The spelling of 2584900081 in words is "two billion, five hundred eighty-four million, nine hundred thousand, eighty-one".