2629638 has 64 divisors (see below), whose sum is σ = 6739200. Its totient is φ = 751680.

The previous prime is 2629621. The next prime is 2629639. The reversal of 2629638 is 8369262.

It is a super-2 number, since 2×2629638² = 13829992022088, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2⁹ + 6 + 2²¹ + 9 + 6 + 3¹² + 8³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2629639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11170 + ... + 11402.

It is an arithmetic number, because the mean of its divisors is an integer number (105300).

2^2629638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2629638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369600).

2629638 is an abundant number, since it is smaller than the sum of its proper divisors (4109562).

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

2629638 is a wasteful number, since it uses less digits than its factorization.

2629638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2629638 is about 1621.6158608006. The cubic root of 2629638 is about 138.0274047654.

The spelling of 2629638 in words is "two million, six hundred twenty-nine thousand, six hundred thirty-eight".