2385824448 has 112 divisors (see below), whose sum is σ = 7251704064. Its totient is φ = 678128640.

The previous prime is 2385824447. The next prime is 2385824453. The reversal of 2385824448 is 8444285832.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2385824397 and 2385824406.

It is not an unprimeable number, because it can be changed into a prime (2385824443) 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 15 ways as a sum of consecutive naturals, for example, 260263 + ... + 269273.

Almost surely, 2^2385824448 is an apocalyptic number.

2385824448 is a gapful number since it is divisible by the number (28) 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 2385824448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625852032).

2385824448 is an abundant number, since it is smaller than the sum of its proper divisors (4865879616).

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

2385824448 is a wasteful number, since it uses less digits than its factorization.

2385824448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9230 (or 9220 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 48.

The square root of 2385824448 is about 48844.9019653024. The cubic root of 2385824448 is about 1336.2246983629.

The spelling of 2385824448 in words is "two billion, three hundred eighty-five million, eight hundred twenty-four thousand, four hundred forty-eight".