2448768300 has 144 divisors (see below), whose sum is σ = 7909410432. Its totient is φ = 579801600.

The previous prime is 2448768269. The next prime is 2448768313. The reversal of 2448768300 is 38678442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133272 + ... + 150528.

Almost surely, 2^2448768300 is an apocalyptic number.

2448768300 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 2448768300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954705216).

2448768300 is an abundant number, since it is smaller than the sum of its proper divisors (5460642132).

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

2448768300 is a wasteful number, since it uses less digits than its factorization.

2448768300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17328 (or 17321 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2448768300 is about 49485.0310700115. The cubic root of 2448768300 is about 1347.8737998477.

The spelling of 2448768300 in words is "two billion, four hundred forty-eight million, seven hundred sixty-eight thousand, three hundred".