2385830720 has 112 divisors (see below), whose sum is σ = 6992404608. Its totient is φ = 755066880.

The previous prime is 2385830693. The next prime is 2385830723. The reversal of 2385830720 is 270385832.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2385830723) 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, 11846 + ... + 70085.

It is an arithmetic number, because the mean of its divisors is an integer number (62432184).

Almost surely, 2^2385830720 is an apocalyptic number.

2385830720 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 2385830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496202304).

2385830720 is an abundant number, since it is smaller than the sum of its proper divisors (4606573888).

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

2385830720 is a wasteful number, since it uses less digits than its factorization.

2385830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81968 (or 81958 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 2385830720 is about 48844.9661684805. The cubic root of 2385830720 is about 1336.2258692780.

The spelling of 2385830720 in words is "two billion, three hundred eighty-five million, eight hundred thirty thousand, seven hundred twenty".