2800290304 has 80 divisors (see below), whose sum is σ = 6466996800. Its totient is φ = 1186504704.

The previous prime is 2800290301. The next prime is 2800290307. The reversal of 2800290304 is 4030920082.

It is an interprime number because it is at equal distance from previous prime (2800290301) and next prime (2800290307).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2800290301) 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 7 ways as a sum of consecutive naturals, for example, 314587 + ... + 323365.

It is an arithmetic number, because the mean of its divisors is an integer number (80837460).

Almost surely, 2^2800290304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2800290304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233498400).

2800290304 is an abundant number, since it is smaller than the sum of its proper divisors (3666706496).

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

2800290304 is an frugal number, since it uses more digits than its factorization.

2800290304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893 (or 8877 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2800290304 is about 52917.7692651533. The cubic root of 2800290304 is about 1409.5084556585.

The spelling of 2800290304 in words is "two billion, eight hundred million, two hundred ninety thousand, three hundred four".