2628648960 has 288 divisors, whose sum is σ = 9663639552. Its totient is φ = 597688320.

The previous prime is 2628648931. The next prime is 2628648961. The reversal of 2628648960 is 698468262.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628648961) 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, 13762465 + ... + 13762655.

It is an arithmetic number, because the mean of its divisors is an integer number (33554304).

Almost surely, 2^2628648960 is an apocalyptic number.

2628648960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2628648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831819776).

2628648960 is an abundant number, since it is smaller than the sum of its proper divisors (7034990592).

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

2628648960 is an frugal number, since it uses more digits than its factorization.

2628648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 2628648960 is about 51270.3516664358. The cubic root of 2628648960 is about 1380.1009797983.

The spelling of 2628648960 in words is "two billion, six hundred twenty-eight million, six hundred forty-eight thousand, nine hundred sixty".