2638564 has 12 divisors (see below), whose sum is σ = 4628988. Its totient is φ = 1316000.

The previous prime is 2638561. The next prime is 2638567. The reversal of 2638564 is 4658362.

2638564 = 320² + 321² + ... + 343².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2638561) and next prime (2638567).

It can be written as a sum of positive squares in 2 ways, for example, as 1982464 + 656100 = 1408^2 + 810^2 .

It is a d-powerful number, because it can be written as 2¹¹ + 6 + 3¹² + 8⁷ + 5³ + 6⁵ + 4² .

It is not an unprimeable number, because it can be changed into a prime (2638561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2334 + ... + 3274.

It is an arithmetic number, because the mean of its divisors is an integer number (385749).

2^2638564 is an apocalyptic number.

It is an amenable number.

2638564 is a deficient number, since it is larger than the sum of its proper divisors (1990424).

2638564 is a wasteful number, since it uses less digits than its factorization.

2638564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1644 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 2638564 is about 1624.3657223667. The cubic root of 2638564 is about 138.1834010458.

The spelling of 2638564 in words is "two million, six hundred thirty-eight thousand, five hundred sixty-four".