2800208889 has 27 divisors (see below), whose sum is σ = 4186788879. Its totient is φ = 1803411360.

The previous prime is 2800208881. The next prime is 2800208909. The reversal of 2800208889 is 9888020082.

The square root of 2800208889 is 52917.

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

It can be written as a sum of positive squares in only one way, i.e., 461519289 + 2338689600 = 21483^2 + 48360^2 .

It is not a de Polignac number, because 2800208889 - 2³ = 2800208881 is a prime.

It is a super-2 number, since 2×2800208889² = 15682339644069228642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2800208881) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4920997 + ... + 4921565.

Almost surely, 2^2800208889 is an apocalyptic number.

2800208889 is the 52917-th square number.

2800208889 is the 26459-th centered octagonal number.

It is an amenable number.

2800208889 is a deficient number, since it is larger than the sum of its proper divisors (1386579990).

2800208889 is an frugal number, since it uses more digits than its factorization.

2800208889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The cubic root of 2800208889 is about 1409.4947956172.

Multiplying 2800208889 by its product of nonzero digits (147456), we get a square (412907601936384 = 20320128²).

The spelling of 2800208889 in words is "two billion, eight hundred million, two hundred eight thousand, eight hundred eighty-nine".