2804717664 has 432 divisors, whose sum is σ = 10211252688. Its totient is φ = 752467968.

The previous prime is 2804717611. The next prime is 2804717677. The reversal of 2804717664 is 4667174082.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6477192 + ... + 6477624.

It is an arithmetic number, because the mean of its divisors is an integer number (23637159).

Almost surely, 2^2804717664 is an apocalyptic number.

2804717664 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 2804717664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105626344).

2804717664 is an abundant number, since it is smaller than the sum of its proper divisors (7406535024).

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

2804717664 is a wasteful number, since it uses less digits than its factorization.

2804717664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2804717664 is about 52959.5851947502. The cubic root of 2804717664 is about 1410.2508924297.

The spelling of 2804717664 in words is "two billion, eight hundred four million, seven hundred seventeen thousand, six hundred sixty-four".