2053008 has 60 divisors (see below), whose sum is σ = 5875740. Its totient is φ = 668928.

The previous prime is 2053001. The next prime is 2053013. The reversal of 2053008 is 8003502.

It can be written as a sum of positive squares in 2 ways, for example, as 725904 + 1327104 = 852^2 + 1152^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2053001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7498 + ... + 7766.

It is an arithmetic number, because the mean of its divisors is an integer number (97929).

2^2053008 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 2053008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937870).

2053008 is an abundant number, since it is smaller than the sum of its proper divisors (3822732).

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

2053008 is a wasteful number, since it uses less digits than its factorization.

2053008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2053008 is about 1432.8321604431. The cubic root of 2053008 is about 127.0955116759.

The spelling of 2053008 in words is "two million, fifty-three thousand, eight".