2685643776 has 264 divisors, whose sum is σ = 8261757504. Its totient is φ = 870912000.

The previous prime is 2685643759. The next prime is 2685643777. The reversal of 2685643776 is 6773465862.

2685643776 is a `hidden beast` number, since 2 + 6 + 8 + 564 + 3 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2685643777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10699651 + ... + 10699901.

It is an arithmetic number, because the mean of its divisors is an integer number (31294536).

Almost surely, 2^2685643776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2685643776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130878752).

2685643776 is an abundant number, since it is smaller than the sum of its proper divisors (5576113728).

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

2685643776 is an equidigital number, since it uses as much as digits as its factorization.

2685643776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 299 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 2685643776 is about 51823.1972768952. The cubic root of 2685643776 is about 1390.0042744378.

The spelling of 2685643776 in words is "two billion, six hundred eighty-five million, six hundred forty-three thousand, seven hundred seventy-six".