2809000000 has 147 divisors (see below), whose sum is σ = 7101491131. Its totient is φ = 1102400000.

The previous prime is 2808999967. The next prime is 2809000037. The reversal of 2809000000 is 9082.

The square root of 2809000000 is 53000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 2701504576 + 107495424 = 51976^2 + 10368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 52999974 + ... + 53000026.

Almost surely, 2^2809000000 is an apocalyptic number.

2809000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2809000000 is the 53000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2809000000

2809000000 is an abundant number, since it is smaller than the sum of its proper divisors (4292491131).

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

2809000000 is an frugal number, since it uses more digits than its factorization.

2809000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The cubic root of 2809000000 is about 1410.9682667364.

Multiplying 2809000000 by its product of nonzero digits (144), we get a square (404496000000 = 636000²).

Adding to 2809000000 its reverse (9082), we get a palindrome (2809009082).

The spelling of 2809000000 in words is "two billion, eight hundred nine million", and thus it is an aban number.