2448628000 has 432 divisors, whose sum is σ = 7787844792. Its totient is φ = 749952000.

The previous prime is 2448627959. The next prime is 2448628003. The reversal of 2448628000 is 8268442.

It can be written as a sum of positive squares in 4 ways, for example, as 332259984 + 2116368016 = 18228^2 + 46004^2 .

It is not an unprimeable number, because it can be changed into a prime (2448628003) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 78987985 + ... + 78988015.

Almost surely, 2^2448628000 is an apocalyptic number.

2448628000 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 2448628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893922396).

2448628000 is an abundant number, since it is smaller than the sum of its proper divisors (5339216792).

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

2448628000 is a wasteful number, since it uses less digits than its factorization.

2448628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 2448628000 is about 49483.6134493026. The cubic root of 2448628000 is about 1347.8480576129.

The spelling of 2448628000 in words is "two billion, four hundred forty-eight million, six hundred twenty-eight thousand".