2053264 has 20 divisors (see below), whose sum is σ = 4005820. Its totient is φ = 1019520.

The previous prime is 2053253. The next prime is 2053291. The reversal of 2053264 is 4623502.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 115600 + 1937664 = 340^2 + 1392^2 .

It is a d-powerful number, because it can be written as 2⁹ + 0 + 5⁹ + 3³ + 2¹⁵ + 6⁴ + 4⁸ .

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2542 + ... + 3250.

It is an arithmetic number, because the mean of its divisors is an integer number (200291).

2^2053264 is an apocalyptic number.

It is an amenable number.

2053264 is a deficient number, since it is larger than the sum of its proper divisors (1952556).

2053264 is a wasteful number, since it uses less digits than its factorization.

2053264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2053264 is about 1432.9214912199. The cubic root of 2053264 is about 127.1007941848.

Adding to 2053264 its reverse (4623502), we get a palindrome (6676766).

The spelling of 2053264 in words is "two million, fifty-three thousand, two hundred sixty-four".