2057544 has 72 divisors (see below), whose sum is σ = 6047730. Its totient is φ = 629760.

The previous prime is 2057543. The next prime is 2057569. The reversal of 2057544 is 4457502.

It can be written as a sum of positive squares in 3 ways, for example, as 980100 + 1077444 = 990^2 + 1038^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057543) 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 17 ways as a sum of consecutive naturals, for example, 50164 + ... + 50204.

2^2057544 is an apocalyptic number.

2057544 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 2057544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023865).

2057544 is an abundant number, since it is smaller than the sum of its proper divisors (3990186).

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

2057544 is a wasteful number, since it uses less digits than its factorization.

2057544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2057544 is about 1434.4141661319. The cubic root of 2057544 is about 127.1890461672.

It can be divided in two parts, 2057 and 544, that added together give a square (2601 = 51²).

The spelling of 2057544 in words is "two million, fifty-seven thousand, five hundred forty-four".