2668755060 has 96 divisors (see below), whose sum is σ = 8345272320. Its totient is φ = 708027264.

The previous prime is 2668755059. The next prime is 2668755119. The reversal of 2668755060 is 605578662.

2668755060 is a `hidden beast` number, since 2 + 66 + 87 + 5 + 506 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2668754997 and 2668755015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93837 + ... + 118923.

It is an arithmetic number, because the mean of its divisors is an integer number (86929920).

Almost surely, 2^2668755060 is an apocalyptic number.

2668755060 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 2668755060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172636160).

2668755060 is an abundant number, since it is smaller than the sum of its proper divisors (5676517260).

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

2668755060 is a wasteful number, since it uses less digits than its factorization.

2668755060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25302 (or 25294 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2668755060 is about 51659.9947735189. The cubic root of 2668755060 is about 1387.0844570076.

The spelling of 2668755060 in words is "two billion, six hundred sixty-eight million, seven hundred fifty-five thousand, sixty".