2800304640 has 480 divisors, whose sum is σ = 11260529280. Its totient is φ = 629932032.

The previous prime is 2800304627. The next prime is 2800304693. The reversal of 2800304640 is 464030082.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15644071 + ... + 15644249.

It is an arithmetic number, because the mean of its divisors is an integer number (23459436).

Almost surely, 2^2800304640 is an apocalyptic number.

2800304640 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 2800304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630264640).

2800304640 is an abundant number, since it is smaller than the sum of its proper divisors (8460224640).

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

2800304640 is a wasteful number, since it uses less digits than its factorization.

2800304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2800304640 is about 52917.9047204252. The cubic root of 2800304640 is about 1409.5108609661.

The spelling of 2800304640 in words is "two billion, eight hundred million, three hundred four thousand, six hundred forty".