2809091664 has 120 divisors (see below), whose sum is σ = 8218362880. Its totient is φ = 928827648.

The previous prime is 2809091653. The next prime is 2809091687. The reversal of 2809091664 is 4661909082.

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, 490932 + ... + 496620.

Almost surely, 2^2809091664 is an apocalyptic number.

2809091664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2809091664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109181440).

2809091664 is an abundant number, since it is smaller than the sum of its proper divisors (5409271216).

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

2809091664 is a wasteful number, since it uses less digits than its factorization.

2809091664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839 (or 5821 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2809091664 is about 53000.8647476624. The cubic root of 2809091664 is about 1410.9836142608.

The spelling of 2809091664 in words is "two billion, eight hundred nine million, ninety-one thousand, six hundred sixty-four".