2257664 has 18 divisors (see below), whose sum is σ = 4507020. Its totient is φ = 1128704.

The previous prime is 2257649. The next prime is 2257667. The reversal of 2257664 is 4667522.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2⁵ + 2²¹ + 5⁷ + 7⁵ + 6 + 6 + 4⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 2257664.

It is not an unprimeable number, because it can be changed into a prime (2257667) 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 as a sum of consecutive naturals, namely, 4154 + ... + 4665.

It is an arithmetic number, because the mean of its divisors is an integer number (250390).

2^2257664 is an apocalyptic number.

It is an amenable number.

2257664 is a deficient number, since it is larger than the sum of its proper divisors (2249356).

2257664 is an frugal number, since it uses more digits than its factorization.

2257664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8835 (or 8821 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 2257664 is about 1502.5524949232. The cubic root of 2257664 is about 131.1856815625.

The spelling of 2257664 in words is "two million, two hundred fifty-seven thousand, six hundred sixty-four".