2048768 has 36 divisors (see below), whose sum is σ = 4194288. Its totient is φ = 998400.

The previous prime is 2048749. The next prime is 2048779. The reversal of 2048768 is 8678402.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13493 + ... + 13643.

It is an arithmetic number, because the mean of its divisors is an integer number (116508).

2^2048768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097144).

2048768 is an abundant number, since it is smaller than the sum of its proper divisors (2145520).

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

2048768 is an equidigital number, since it uses as much as digits as its factorization.

2048768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 2048768 is about 1431.3518086061. The cubic root of 2048768 is about 127.0079561841.

The spelling of 2048768 in words is "two million, forty-eight thousand, seven hundred sixty-eight".