2305968 has 40 divisors (see below), whose sum is σ = 6809088. Its totient is φ = 658752.

The previous prime is 2305967. The next prime is 2305969. The reversal of 2305968 is 8695032.

It is a happy number.

2305968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2305967) and next prime (2305969).

It is not an unprimeable number, because it can be changed into a prime (2305967) by changing a digit.

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, 3096 + ... + 3767.

2^2305968 is an apocalyptic number.

2305968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2305968 is an abundant number, since it is smaller than the sum of its proper divisors (4503120).

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

2305968 is a wasteful number, since it uses less digits than its factorization.

2305968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6881 (or 6875 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2305968 is about 1518.5414054282. The cubic root of 2305968 is about 132.1146845364.

The spelling of 2305968 in words is "two million, three hundred five thousand, nine hundred sixty-eight".