2248600320 has 216 divisors, whose sum is σ = 7947366336. Its totient is φ = 586727424.

The previous prime is 2248600309. The next prime is 2248600337. The reversal of 2248600320 is 230068422.

2248600320 is a `hidden beast` number, since 2 + 24 + 8 + 600 + 32 + 0 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 539364 + ... + 543516.

Almost surely, 2^2248600320 is an apocalyptic number.

2248600320 is a gapful number since it is divisible by the number (20) 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 2248600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973683168).

2248600320 is an abundant number, since it is smaller than the sum of its proper divisors (5698766016).

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

2248600320 is a wasteful number, since it uses less digits than its factorization.

2248600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2248600320 is about 47419.4086846304. The cubic root of 2248600320 is about 1310.0989222737.

Adding to 2248600320 its reverse (230068422), we get a palindrome (2478668742).

The spelling of 2248600320 in words is "two billion, two hundred forty-eight million, six hundred thousand, three hundred twenty".