2682814464 has 192 divisors, whose sum is σ = 8465024880. Its totient is φ = 811991040.

The previous prime is 2682814441. The next prime is 2682814471. The reversal of 2682814464 is 4644182862.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3243619 + ... + 3244445.

Almost surely, 2^2682814464 is an apocalyptic number.

2682814464 is a gapful number since it is divisible by the number (24) 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 2682814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232512440).

2682814464 is an abundant number, since it is smaller than the sum of its proper divisors (5782210416).

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

2682814464 is an equidigital number, since it uses as much as digits as its factorization.

2682814464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 843 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 2682814464 is about 51795.8923467875. The cubic root of 2682814464 is about 1389.5159821254.

The spelling of 2682814464 in words is "two billion, six hundred eighty-two million, eight hundred fourteen thousand, four hundred sixty-four".