2057824 has 24 divisors (see below), whose sum is σ = 4096008. Its totient is φ = 1017600.

The previous prime is 2057813. The next prime is 2057849. The reversal of 2057824 is 4287502.

It is a super-2 number, since 2×2057824² = 8469279229952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2057792 and 2057801.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 3124 + ... + 3724.

It is an arithmetic number, because the mean of its divisors is an integer number (170667).

2^2057824 is an apocalyptic number.

It is an amenable number.

2057824 is a deficient number, since it is larger than the sum of its proper divisors (2038184).

2057824 is a wasteful number, since it uses less digits than its factorization.

2057824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 2057824 is about 1434.5117636325. The cubic root of 2057824 is about 127.1948153946.

It can be divided in two parts, 20578 and 24, that added together give a palindrome (20602).

The spelling of 2057824 in words is "two million, fifty-seven thousand, eight hundred twenty-four".