2083456 has 32 divisors (see below), whose sum is σ = 4262580. Its totient is φ = 1013760.

The previous prime is 2083453. The next prime is 2083511. The reversal of 2083456 is 6543802.

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 78400 = 1416^2 + 280^2 .

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

It is a d-powerful number, because it can be written as 2¹⁵ + 0 + 8⁵ + 3¹³ + 4⁸ + 5⁷ + 6⁷ .

It is not an unprimeable number, because it can be changed into a prime (2083451) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5050 + ... + 5446.

2^2083456 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 2083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131290).

2083456 is an abundant number, since it is smaller than the sum of its proper divisors (2179124).

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

2083456 is an equidigital number, since it uses as much as digits as its factorization.

2083456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2083456 is about 1443.4181653284. The cubic root of 2083456 is about 127.7207453664.

The spelling of 2083456 in words is "two million, eighty-three thousand, four hundred fifty-six".