2257536 has 32 divisors (see below), whose sum is σ = 5997600. Its totient is φ = 752384.

The previous prime is 2257531. The next prime is 2257547. The reversal of 2257536 is 6357522.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 2⁶ + 2¹² + 5⁴ + 7 + 5⁹ + 3⁹ + 6⁷ .

It is not an unprimeable number, because it can be changed into a prime (2257531) 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, 2556 + ... + 3323.

It is an arithmetic number, because the mean of its divisors is an integer number (187425).

2^2257536 is an apocalyptic number.

It is an amenable number.

2257536 is an abundant number, since it is smaller than the sum of its proper divisors (3740064).

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

2257536 is an equidigital number, since it uses as much as digits as its factorization.

2257536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896 (or 5884 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 2257536 is about 1502.5099001338. The cubic root of 2257536 is about 131.1832022913.

The spelling of 2257536 in words is "two million, two hundred fifty-seven thousand, five hundred thirty-six".