2682814896 has 240 divisors, whose sum is σ = 8344227840. Its totient is φ = 801239040.

The previous prime is 2682814879. The next prime is 2682814909. The reversal of 2682814896 is 6984182862.

2682814896 is a `hidden beast` number, since 2 + 6 + 82 + 81 + 489 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3986016 + ... + 3986688.

It is an arithmetic number, because the mean of its divisors is an integer number (34767616).

Almost surely, 2^2682814896 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 2682814896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172113920).

2682814896 is an abundant number, since it is smaller than the sum of its proper divisors (5661412944).

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

2682814896 is a wasteful number, since it uses less digits than its factorization.

2682814896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 775 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 2682814896 is about 51795.8965170022. The cubic root of 2682814896 is about 1389.5160567077.

The spelling of 2682814896 in words is "two billion, six hundred eighty-two million, eight hundred fourteen thousand, eight hundred ninety-six".