2385920 has 48 divisors (see below), whose sum is σ = 5749380. Its totient is φ = 950272.

The previous prime is 2385919. The next prime is 2385931. The reversal of 2385920 is 295832.

It can be written as a sum of positive squares in 2 ways, for example, as 2262016 + 123904 = 1504^2 + 352^2 .

It is a super-2 number, since 2×2385920² = 11385228492800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10124 + ... + 10356.

2^2385920 is an apocalyptic number.

2385920 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 2385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874690).

2385920 is an abundant number, since it is smaller than the sum of its proper divisors (3363460).

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

2385920 is an equidigital number, since it uses as much as digits as its factorization.

2385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 2385920 is about 1544.6423534268. The cubic root of 2385920 is about 133.6242536674.

The spelling of 2385920 in words is "two million, three hundred eighty-five thousand, nine hundred twenty".