2627989312 has 112 divisors (see below), whose sum is σ = 5821783632. Its totient is φ = 1169326080.

The previous prime is 2627989289. The next prime is 2627989363. The reversal of 2627989312 is 2139897262.

2627989312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 36772096 + 2591217216 = 6064^2 + 50904^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2689368 + ... + 2690344.

It is an arithmetic number, because the mean of its divisors is an integer number (51980211).

Almost surely, 2^2627989312 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 2627989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910891816).

2627989312 is an abundant number, since it is smaller than the sum of its proper divisors (3193794320).

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

2627989312 is a wasteful number, since it uses less digits than its factorization.

2627989312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1106 counting only the distinct ones).

The product of its digits is 653184, while the sum is 49.

The square root of 2627989312 is about 51263.9182271508. The cubic root of 2627989312 is about 1379.9855266983.

The spelling of 2627989312 in words is "two billion, six hundred twenty-seven million, nine hundred eighty-nine thousand, three hundred twelve".