2628289664 has 256 divisors, whose sum is σ = 7151880960. Its totient is φ = 928972800.

The previous prime is 2628289637. The next prime is 2628289667. The reversal of 2628289664 is 4669828262.

It is not an unprimeable number, because it can be changed into a prime (2628289667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9353204 + ... + 9353484.

It is an arithmetic number, because the mean of its divisors is an integer number (27937035).

Almost surely, 2^2628289664 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 2628289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575940480).

2628289664 is an abundant number, since it is smaller than the sum of its proper divisors (4523591296).

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

2628289664 is a wasteful number, since it uses less digits than its factorization.

2628289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 53.

The square root of 2628289664 is about 51266.8476112975. The cubic root of 2628289664 is about 1380.0380973869.

It can be divided in two parts, 2628 and 289664, that added together give a palindrome (292292).

The spelling of 2628289664 in words is "two billion, six hundred twenty-eight million, two hundred eighty-nine thousand, six hundred sixty-four".