2048064 has 28 divisors (see below), whose sum is σ = 5419344. Its totient is φ = 682624.

The previous prime is 2048063. The next prime is 2048107. The reversal of 2048064 is 4608402.

It is a super-2 number, since 2×2048064² = 8389132296192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2048063) 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 3 ways as a sum of consecutive naturals, for example, 5142 + ... + 5525.

It is an arithmetic number, because the mean of its divisors is an integer number (193548).

2^2048064 is an apocalyptic number.

2048064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2048064 is an abundant number, since it is smaller than the sum of its proper divisors (3371280).

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

2048064 is a wasteful number, since it uses less digits than its factorization.

2048064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10672 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2048064 is about 1431.1058661050. The cubic root of 2048064 is about 126.9934069779.

It can be divided in two parts, 20 and 48064, that added together give a palindrome (48084).

The spelling of 2048064 in words is "two million, forty-eight thousand, sixty-four".