2361968 has 20 divisors (see below), whose sum is σ = 5230320. Its totient is φ = 1012224.

The previous prime is 2361959. The next prime is 2361977. The reversal of 2361968 is 8691632.

It is an interprime number because it is at equal distance from previous prime (2361959) and next prime (2361977).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10433 + ... + 10656.

It is an arithmetic number, because the mean of its divisors is an integer number (261516).

2^2361968 is an apocalyptic number.

2361968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2361968 is an abundant number, since it is smaller than the sum of its proper divisors (2868352).

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

2361968 is a wasteful number, since it uses less digits than its factorization.

2361968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21104 (or 21098 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 2361968 is about 1536.8695455373. The cubic root of 2361968 is about 133.1756023695.

It can be divided in two parts, 236196 and 8, that multiplied together give a 5-th power (1889568 = 18⁵).

The spelling of 2361968 in words is "two million, three hundred sixty-one thousand, nine hundred sixty-eight".