2385459648 has 168 divisors, whose sum is σ = 8033132016. Its totient is φ = 667238400.

The previous prime is 2385459631. The next prime is 2385459649. The reversal of 2385459648 is 8469545832.

2385459648 is a `hidden beast` number, since 2 + 3 + 8 + 5 + 4 + 596 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2385459594 and 2385459603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2385459649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67888 + ... + 96848.

It is an arithmetic number, because the mean of its divisors is an integer number (47816262).

Almost surely, 2^2385459648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2385459648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016566008).

2385459648 is an abundant number, since it is smaller than the sum of its proper divisors (5647672368).

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

2385459648 is a wasteful number, since it uses less digits than its factorization.

2385459648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29003 (or 28990 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 2385459648 is about 48841.1675536120. The cubic root of 2385459648 is about 1336.1565905833.

The spelling of 2385459648 in words is "two billion, three hundred eighty-five million, four hundred fifty-nine thousand, six hundred forty-eight".