2682859968 has 98 divisors (see below), whose sum is σ = 7982187744. Its totient is φ = 894271104.

The previous prime is 2682859967. The next prime is 2682859979. The reversal of 2682859968 is 8699582862.

2682859968 is a `hidden beast` number, since 268 + 285 + 9 + 96 + 8 = 666.

2682859968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2682859968² = 14395475215793922048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682859961) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 17905 + ... + 75407.

Almost surely, 2^2682859968 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 2682859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991093872).

2682859968 is an abundant number, since it is smaller than the sum of its proper divisors (5299327776).

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

2682859968 is an frugal number, since it uses more digits than its factorization.

2682859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57533 (or 57508 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The square root of 2682859968 is about 51796.3316075569. The cubic root of 2682859968 is about 1389.5238380766.

The spelling of 2682859968 in words is "two billion, six hundred eighty-two million, eight hundred fifty-nine thousand, nine hundred sixty-eight".