2208937248 has 216 divisors, whose sum is σ = 7361162172. Its totient is φ = 626476032.

The previous prime is 2208937201. The next prime is 2208937261. The reversal of 2208937248 is 8427398022.

It can be written as a sum of positive squares in 2 ways, for example, as 2189116944 + 19820304 = 46788^2 + 4452^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2215086 + ... + 2216082.

Almost surely, 2^2208937248 is an apocalyptic number.

2208937248 is a gapful number since it is divisible by the number (28) 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 2208937248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680581086).

2208937248 is an abundant number, since it is smaller than the sum of its proper divisors (5152224924).

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

2208937248 is a wasteful number, since it uses less digits than its factorization.

2208937248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2208937248 is about 46999.3324207908. The cubic root of 2208937248 is about 1302.3502352968.

The spelling of 2208937248 in words is "two billion, two hundred eight million, nine hundred thirty-seven thousand, two hundred forty-eight".