2629632 has 56 divisors (see below), whose sum is σ = 7077456. Its totient is φ = 868352.

The previous prime is 2629621. The next prime is 2629639. The reversal of 2629632 is 2369262.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁷ + 6² + 2¹⁹ + 9 + 6⁵ + 3⁵ + 2²¹ .

It is a self number, because there is not a number n which added to its sum of digits gives 2629632.

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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24523 + ... + 24629.

2^2629632 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 2629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538728).

2629632 is an abundant number, since it is smaller than the sum of its proper divisors (4447824).

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

2629632 is an equidigital number, since it uses as much as digits as its factorization.

2629632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 2629632 is about 1621.6140107930. The cubic root of 2629632 is about 138.0272997871.

The spelling of 2629632 in words is "two million, six hundred twenty-nine thousand, six hundred thirty-two".