2629628112 has 80 divisors (see below), whose sum is σ = 6937145280. Its totient is φ = 858095616.

The previous prime is 2629628081. The next prime is 2629628117. The reversal of 2629628112 is 2118269262.

2629628112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2629628117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726018 + ... + 729630.

It is an arithmetic number, because the mean of its divisors is an integer number (86714316).

Almost surely, 2^2629628112 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 2629628112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468572640).

2629628112 is an abundant number, since it is smaller than the sum of its proper divisors (4307517168).

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

2629628112 is a wasteful number, since it uses less digits than its factorization.

2629628112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3934 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 2629628112 is about 51279.8996878894. The cubic root of 2629628112 is about 1380.2723176102.

The spelling of 2629628112 in words is "two billion, six hundred twenty-nine million, six hundred twenty-eight thousand, one hundred twelve".