2048319 has 48 divisors (see below), whose sum is σ = 3791424. Its totient is φ = 1036800.

The previous prime is 2048273. The next prime is 2048327. The reversal of 2048319 is 9138402.

It is not a de Polignac number, because 2048319 - 2⁸ = 2048063 is a prime.

It is a super-2 number, since 2×2048319² = 8391221451522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2048292 and 2048301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33549 + ... + 33609.

It is an arithmetic number, because the mean of its divisors is an integer number (78988).

2^2048319 is an apocalyptic number.

2048319 is a deficient number, since it is larger than the sum of its proper divisors (1743105).

2048319 is a wasteful number, since it uses less digits than its factorization.

2048319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2048319 is about 1431.1949552734. The cubic root of 2048319 is about 126.9986773169.

It can be divided in two parts, 20483 and 19, that added together give a palindrome (20502).

The spelling of 2048319 in words is "two million, forty-eight thousand, three hundred nineteen".