2448800000 has 108 divisors (see below), whose sum is σ = 6111647892. Its totient is φ = 979200000.

The previous prime is 2448799999. The next prime is 2448800099. The reversal of 2448800000 is 88442.

It can be written as a sum of positive squares in 6 ways, for example, as 1396965376 + 1051834624 = 37376^2 + 32432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798470 + ... + 801530.

Almost surely, 2^2448800000 is an apocalyptic number.

2448800000 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 2448800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055823946).

2448800000 is an abundant number, since it is smaller than the sum of its proper divisors (3662847892).

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

2448800000 is an frugal number, since it uses more digits than its factorization.

2448800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 2448800000 is about 49485.3513678543. The cubic root of 2448800000 is about 1347.8796160254.

Adding to 2448800000 its reverse (88442), we get a palindrome (2448888442).

The spelling of 2448800000 in words is "two billion, four hundred forty-eight million, eight hundred thousand".