2682117768 has 128 divisors (see below), whose sum is σ = 7879680000. Its totient is φ = 752294400.

The previous prime is 2682117709. The next prime is 2682117847. The reversal of 2682117768 is 8677112862.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181108 + ... + 195356.

It is an arithmetic number, because the mean of its divisors is an integer number (61560000).

Almost surely, 2^2682117768 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 2682117768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939840000).

2682117768 is an abundant number, since it is smaller than the sum of its proper divisors (5197562232).

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

2682117768 is a wasteful number, since it uses less digits than its factorization.

2682117768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14323 (or 14319 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 2682117768 is about 51789.1665119260. The cubic root of 2682117768 is about 1389.3956912828.

The spelling of 2682117768 in words is "two billion, six hundred eighty-two million, one hundred seventeen thousand, seven hundred sixty-eight".