2322768 has 80 divisors (see below), whose sum is σ = 7110656. Its totient is φ = 639360.

The previous prime is 2322767. The next prime is 2322779. The reversal of 2322768 is 8672232.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹¹ + 3¹⁰ + 2¹³ + 2¹⁹ + 7⁵ + 6⁸ + 8⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2322763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10305 + ... + 10527.

2^2322768 is an apocalyptic number.

2322768 is a gapful number since it is divisible by the number (28) 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 2322768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555328).

2322768 is an abundant number, since it is smaller than the sum of its proper divisors (4787888).

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

2322768 is a wasteful number, since it uses less digits than its factorization.

2322768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2322768 is about 1524.0629908242. The cubic root of 2322768 is about 132.4347465569.

It can be divided in two parts, 23 and 22768, that added together give a triangular number (22791 = T₂₁₃).

The spelling of 2322768 in words is "two million, three hundred twenty-two thousand, seven hundred sixty-eight".