2305842 has 96 divisors (see below), whose sum is σ = 6303744. Its totient is φ = 554400.

The previous prime is 2305837. The next prime is 2305883. The reversal of 2305842 is 2485032.

2305842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam 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 47 ways as a sum of consecutive naturals, for example, 74367 + ... + 74397.

It is an arithmetic number, because the mean of its divisors is an integer number (65664).

2^2305842 is an apocalyptic number.

2305842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 1518×1519.

It is a practical number, because each smaller number is the sum of distinct divisors of 2305842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151872).

2305842 is an abundant number, since it is smaller than the sum of its proper divisors (3997902).

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

2305842 is a wasteful number, since it uses less digits than its factorization.

2305842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2305842 is about 1518.4999176819. The cubic root of 2305842 is about 132.1122782073.

The spelling of 2305842 in words is "two million, three hundred five thousand, eight hundred forty-two".