2628071684 has 72 divisors (see below), whose sum is σ = 5688144000. Its totient is φ = 1055679744.

The previous prime is 2628071683. The next prime is 2628071687. The reversal of 2628071684 is 4861708262.

It is not an unprimeable number, because it can be changed into a prime (2628071681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 874817 + ... + 877815.

It is an arithmetic number, because the mean of its divisors is an integer number (79002000).

Almost surely, 2^2628071684 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 2628071684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844072000).

2628071684 is an abundant number, since it is smaller than the sum of its proper divisors (3060072316).

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

2628071684 is a wasteful number, since it uses less digits than its factorization.

2628071684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 2628071684 is about 51264.7216319371. The cubic root of 2628071684 is about 1379.9999446895. Note that the first 4 decimals are identical.

The spelling of 2628071684 in words is "two billion, six hundred twenty-eight million, seventy-one thousand, six hundred eighty-four".