2208006400 has 54 divisors (see below), whose sum is σ = 5465176682. Its totient is φ = 883200000.

The previous prime is 2208006377. The next prime is 2208006419. The reversal of 2208006400 is 46008022.

It can be written as a sum of positive squares in 3 ways, for example, as 411602944 + 1796403456 = 20288^2 + 42384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 166101 + ... + 178900.

Almost surely, 2^2208006400 is an apocalyptic number.

2208006400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2208006400 is an abundant number, since it is smaller than the sum of its proper divisors (3257170282).

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

2208006400 is an equidigital number, since it uses as much as digits as its factorization.

2208006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345027 (or 345008 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2208006400 is about 46989.4285983560. The cubic root of 2208006400 is about 1302.1672724355.

The spelling of 2208006400 in words is "two billion, two hundred eight million, six thousand, four hundred".