2248819200 has 420 divisors, whose sum is σ = 8388278778. Its totient is φ = 597196800.

The previous prime is 2248819171. The next prime is 2248819207. The reversal of 2248819200 is 29188422.

It can be written as a sum of positive squares in 3 ways, for example, as 1903751424 + 345067776 = 43632^2 + 18576^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2248819207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 9331080 + ... + 9331320.

Almost surely, 2^2248819200 is an apocalyptic number.

2248819200 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 2248819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194139389).

2248819200 is an abundant number, since it is smaller than the sum of its proper divisors (6139459578).

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

2248819200 is an frugal number, since it uses more digits than its factorization.

2248819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2248819200 is about 47421.7165442163. The cubic root of 2248819200 is about 1310.1414294793.

The spelling of 2248819200 in words is "two billion, two hundred forty-eight million, eight hundred nineteen thousand, two hundred".