2676305268 has 432 divisors, whose sum is σ = 9195303936. Its totient is φ = 638254080.

The previous prime is 2676305267. The next prime is 2676305297. The reversal of 2676305268 is 8625036762.

It is a happy number.

2676305268 is a `hidden beast` number, since 2 + 6 + 7 + 630 + 5 + 2 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2676305263) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 36661680 + ... + 36661752.

Almost surely, 2^2676305268 is an apocalyptic number.

2676305268 is a gapful number since it is divisible by the number (28) 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 2676305268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597651968).

2676305268 is an abundant number, since it is smaller than the sum of its proper divisors (6518998668).

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

2676305268 is a wasteful number, since it uses less digits than its factorization.

2676305268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2676305268 is about 51733.0191270527. The cubic root of 2676305268 is about 1388.3912979880.

The spelling of 2676305268 in words is "two billion, six hundred seventy-six million, three hundred five thousand, two hundred sixty-eight".