2048256 has 108 divisors (see below), whose sum is σ = 6802432. Its totient is φ = 580608.

The previous prime is 2048251. The next prime is 2048261. The reversal of 2048256 is 6528402.

It is an interprime number because it is at equal distance from previous prime (2048251) and next prime (2048261).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048251) 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 11 ways as a sum of consecutive naturals, for example, 16065 + ... + 16191.

2^2048256 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 2048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401216).

2048256 is an abundant number, since it is smaller than the sum of its proper divisors (4754176).

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

2048256 is a wasteful number, since it uses less digits than its factorization.

2048256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2048256 is about 1431.1729455241. The cubic root of 2048256 is about 126.9973752738.

It can be divided in two parts, 2048 and 256, that multiplied together give a 19-th power (524288 = 2¹⁹).

The spelling of 2048256 in words is "two million, forty-eight thousand, two hundred fifty-six".