2448768 has 64 divisors (see below), whose sum is σ = 7441920. Its totient is φ = 698880.

The previous prime is 2448757. The next prime is 2448769. The reversal of 2448768 is 8678442.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2448769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2233 + ... + 3143.

It is an arithmetic number, because the mean of its divisors is an integer number (116280).

2^2448768 is an apocalyptic number.

2448768 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 2448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720960).

2448768 is an abundant number, since it is smaller than the sum of its proper divisors (4993152).

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

2448768 is an equidigital number, since it uses as much as digits as its factorization.

2448768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 923 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 2448768 is about 1564.8539867988. The cubic root of 2448768 is about 134.7873744805.

The spelling of 2448768 in words is "two million, four hundred forty-eight thousand, seven hundred sixty-eight".