2804336640 has 864 divisors, whose sum is σ = 12234680640. Its totient is φ = 613122048.

The previous prime is 2804336621. The next prime is 2804336641. The reversal of 2804336640 is 466334082.

It is a happy number.

2804336640 is a `hidden beast` number, since 2 + 8 + 0 + 4 + 3 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2804336595 and 2804336604.

It is not an unprimeable number, because it can be changed into a prime (2804336641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121927669 + ... + 121927691.

It is an arithmetic number, because the mean of its divisors is an integer number (14160510).

Almost surely, 2^2804336640 is an apocalyptic number.

2804336640 is a gapful number since it is divisible by the number (20) 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 2804336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6117340320).

2804336640 is an abundant number, since it is smaller than the sum of its proper divisors (9430344000).

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

2804336640 is an equidigital number, since it uses as much as digits as its factorization.

2804336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2804336640 is about 52955.9877634248. The cubic root of 2804336640 is about 1410.1870281559.

The spelling of 2804336640 in words is "two billion, eight hundred four million, three hundred thirty-six thousand, six hundred forty".