2328864 has 48 divisors (see below), whose sum is σ = 6477408. Its totient is φ = 730112.

The previous prime is 2328857. The next prime is 2328869. The reversal of 2328864 is 4688232.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (2328869) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 919 + ... + 2345.

It is an arithmetic number, because the mean of its divisors is an integer number (134946).

2^2328864 is an apocalyptic number.

2328864 is a gapful number since it is divisible by the number (24) 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 2328864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238704).

2328864 is an abundant number, since it is smaller than the sum of its proper divisors (4148544).

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

2328864 is a wasteful number, since it uses less digits than its factorization.

2328864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1449 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 2328864 is about 1526.0615977083. The cubic root of 2328864 is about 132.5505016937.

The spelling of 2328864 in words is "two million, three hundred twenty-eight thousand, eight hundred sixty-four".