2349920 has 48 divisors (see below), whose sum is σ = 5851440. Its totient is φ = 889344.

The previous prime is 2349917. The next prime is 2349937. The reversal of 2349920 is 299432.

2349920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2654 + ... + 3426.

It is an arithmetic number, because the mean of its divisors is an integer number (121905).

2^2349920 is an apocalyptic number.

2349920 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 2349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925720).

2349920 is an abundant number, since it is smaller than the sum of its proper divisors (3501520).

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

2349920 is a wasteful number, since it uses less digits than its factorization.

2349920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 2349920 is about 1532.9448783306. The cubic root of 2349920 is about 132.9487808506.

The spelling of 2349920 in words is "two million, three hundred forty-nine thousand, nine hundred twenty".