2668208760 has 432 divisors, whose sum is σ = 10671733800. Its totient is φ = 576398592.

The previous prime is 2668208731. The next prime is 2668208761. The reversal of 2668208760 is 678028662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668208761) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6367831 + ... + 6368249.

Almost surely, 2^2668208760 is an apocalyptic number.

2668208760 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 2668208760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335866900).

2668208760 is an abundant number, since it is smaller than the sum of its proper divisors (8003525040).

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

2668208760 is a wasteful number, since it uses less digits than its factorization.

2668208760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2668208760 is about 51654.7070459218. The cubic root of 2668208760 is about 1386.9898041410.

The spelling of 2668208760 in words is "two billion, six hundred sixty-eight million, two hundred eight thousand, seven hundred sixty".