2053824 has 56 divisors (see below), whose sum is σ = 5730240. Its totient is φ = 647424.

The previous prime is 2053819. The next prime is 2053837. The reversal of 2053824 is 4283502.

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

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2053794 and 2053803.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3367 + ... + 3929.

2^2053824 is an apocalyptic number.

2053824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865120).

2053824 is an abundant number, since it is smaller than the sum of its proper divisors (3676416).

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

2053824 is a wasteful number, since it uses less digits than its factorization.

2053824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2053824 is about 1433.1168828815. The cubic root of 2053824 is about 127.1123481423.

The spelling of 2053824 in words is "two million, fifty-three thousand, eight hundred twenty-four".