2048384 has 32 divisors (see below), whose sum is σ = 4398240. Its totient is φ = 944640.

The previous prime is 2048369. The next prime is 2048413. The reversal of 2048384 is 4838402.

It is a Cunningham number, because it is equal to 127³+1.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2048384² = 8391754022912, which contains 22 as substring.

It is a congruent number.

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, 1049 + ... + 2279.

It is an arithmetic number, because the mean of its divisors is an integer number (137445).

2^2048384 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 2048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199120).

2048384 is an abundant number, since it is smaller than the sum of its proper divisors (2349856).

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

2048384 is a wasteful number, since it uses less digits than its factorization.

2048384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 2048384 is about 1431.2176633902. The cubic root of 2048384 is about 127.0000206667. Note that the first 4 decimals are identical.

The spelling of 2048384 in words is "two million, forty-eight thousand, three hundred eighty-four".