2628444672 has 240 divisors, whose sum is σ = 8851814400. Its totient is φ = 750532608.

The previous prime is 2628444661. The next prime is 2628444673. The reversal of 2628444672 is 2764448262.

2628444672 is a `hidden beast` number, since 2 + 62 + 84 + 446 + 72 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2628444673) 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, 1579713 + ... + 1581375.

It is an arithmetic number, because the mean of its divisors is an integer number (36882560).

Almost surely, 2^2628444672 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 2628444672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425907200).

2628444672 is an abundant number, since it is smaller than the sum of its proper divisors (6223369728).

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

2628444672 is an equidigital number, since it uses as much as digits as its factorization.

2628444672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1675 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 2628444672 is about 51268.3593652069. The cubic root of 2628444672 is about 1380.0652269106.

The spelling of 2628444672 in words is "two billion, six hundred twenty-eight million, four hundred forty-four thousand, six hundred seventy-two".