2353968 has 40 divisors (see below), whose sum is σ = 6758000. Its totient is φ = 784512.

The previous prime is 2353957. The next prime is 2353979. The reversal of 2353968 is 8693532.

2353968 is nontrivially palindromic in base 11 and base 15.

2353968 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 (2353957) and next prime (2353979).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

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, 2293 + ... + 3156.

It is an arithmetic number, because the mean of its divisors is an integer number (168950).

2^2353968 is an apocalyptic number.

It is an amenable number.

2353968 is an abundant number, since it is smaller than the sum of its proper divisors (4404032).

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

2353968 is a wasteful number, since it uses less digits than its factorization.

2353968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5454 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 2353968 is about 1534.2646447077. The cubic root of 2353968 is about 133.0250767723.

It can be divided in two parts, 2353 and 968, that added together give a triangular number (3321 = T₈₁).

The spelling of 2353968 in words is "two million, three hundred fifty-three thousand, nine hundred sixty-eight".