2084016584 has 32 divisors (see below), whose sum is σ = 4212075000. Its totient is φ = 960947712.

The previous prime is 2084016581. The next prime is 2084016611. The reversal of 2084016584 is 4856104802.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 423454084 + 1660562500 = 20578^2 + 40750^2 .

It is not an unprimeable number, because it can be changed into a prime (2084016581) 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, 108542 + ... + 126290.

Almost surely, 2^2084016584 is an apocalyptic number.

It is an amenable number.

2084016584 is an abundant number, since it is smaller than the sum of its proper divisors (2128058416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2084016584 is a wasteful number, since it uses less digits than its factorization.

2084016584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18897 (or 18893 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 2084016584 is about 45651.0304812498. The cubic root of 2084016584 is about 1277.3219937767.

The spelling of 2084016584 in words is "two billion, eighty-four million, sixteen thousand, five hundred eighty-four".