2385930624 has 512 divisors, whose sum is σ = 8648294400. Its totient is φ = 564019200.

The previous prime is 2385930623. The next prime is 2385930629. The reversal of 2385930624 is 4260395832.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2385930623) 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 63 ways as a sum of consecutive naturals, for example, 17415484 + ... + 17415620.

It is an arithmetic number, because the mean of its divisors is an integer number (16891200).

Almost surely, 2^2385930624 is an apocalyptic number.

2385930624 is a gapful number since it is divisible by the number (24) 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 2385930624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324147200).

2385930624 is an abundant number, since it is smaller than the sum of its proper divisors (6262363776).

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

2385930624 is a wasteful number, since it uses less digits than its factorization.

2385930624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 2385930624 is about 48845.9888220108. The cubic root of 2385930624 is about 1336.2445200069.

The spelling of 2385930624 in words is "two billion, three hundred eighty-five million, nine hundred thirty thousand, six hundred twenty-four".