2668140000 has 480 divisors, whose sum is σ = 10005922080. Its totient is φ = 699840000.

The previous prime is 2668139921. The next prime is 2668140019. The reversal of 2668140000 is 418662.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43739970 + ... + 43740030.

It is an arithmetic number, because the mean of its divisors is an integer number (20845671).

Almost surely, 2^2668140000 is an apocalyptic number.

2668140000 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 2668140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5002961040).

2668140000 is an abundant number, since it is smaller than the sum of its proper divisors (7337782080).

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

2668140000 is an frugal number, since it uses more digits than its factorization.

2668140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2668140000 is about 51654.0414682143. The cubic root of 2668140000 is about 1386.9778897511.

Adding to 2668140000 its reverse (418662), we get a palindrome (2668558662).

The spelling of 2668140000 in words is "two billion, six hundred sixty-eight million, one hundred forty thousand".