2668560384 has 204 divisors, whose sum is σ = 8307804264. Its totient is φ = 759693312.

The previous prime is 2668560379. The next prime is 2668560403. The reversal of 2668560384 is 4830658662.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9633654 + ... + 9633930.

Almost surely, 2^2668560384 is an apocalyptic number.

2668560384 is a gapful number since it is divisible by the number (24) 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 2668560384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153902132).

2668560384 is an abundant number, since it is smaller than the sum of its proper divisors (5639243880).

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

2668560384 is an frugal number, since it uses more digits than its factorization.

2668560384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The square root of 2668560384 is about 51658.1105345521. The cubic root of 2668560384 is about 1387.0507285944.

The spelling of 2668560384 in words is "two billion, six hundred sixty-eight million, five hundred sixty thousand, three hundred eighty-four".