2629664 has 24 divisors (see below), whose sum is σ = 5319468. Its totient is φ = 1278720.

The previous prime is 2629661. The next prime is 2629667. The reversal of 2629664 is 4669262.

It is an interprime number because it is at equal distance from previous prime (2629661) and next prime (2629667).

It can be written as a sum of positive squares in 2 ways, for example, as 2371600 + 258064 = 1540^2 + 508^2 .

It is not an unprimeable number, because it can be changed into a prime (2629661) 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, 74 + ... + 2294.

2^2629664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2629664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659734).

2629664 is an abundant number, since it is smaller than the sum of its proper divisors (2689804).

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

2629664 is a wasteful number, since it uses less digits than its factorization.

2629664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2260 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 2629664 is about 1621.6238774759. The cubic root of 2629664 is about 138.0278596697.

The spelling of 2629664 in words is "two million, six hundred twenty-nine thousand, six hundred sixty-four".