2985584406 has 48 divisors (see below), whose sum is σ = 7011043776. Its totient is φ = 845043024.

The previous prime is 2985584389. The next prime is 2985584467. The reversal of 2985584406 is 6044855892.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15996 + ... + 78911.

It is an arithmetic number, because the mean of its divisors is an integer number (146063412).

Almost surely, 2^2985584406 is an apocalyptic number.

2985584406 is an abundant number, since it is smaller than the sum of its proper divisors (4025459370).

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

2985584406 is a wasteful number, since it uses less digits than its factorization.

2985584406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95033 (or 95026 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The square root of 2985584406 is about 54640.5015167321. The cubic root of 2985584406 is about 1439.9357619878.

The spelling of 2985584406 in words is "two billion, nine hundred eighty-five million, five hundred eighty-four thousand, four hundred six".