2682283968 has 336 divisors, whose sum is σ = 9605808576. Its totient is φ = 696729600.

The previous prime is 2682283949. The next prime is 2682283997. The reversal of 2682283968 is 8693822862.

2682283968 is a `hidden beast` number, since 26 + 8 + 228 + 396 + 8 = 666.

2682283968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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, 3826018 + ... + 3826718.

It is an arithmetic number, because the mean of its divisors is an integer number (28588716).

Almost surely, 2^2682283968 is an apocalyptic number.

2682283968 is a gapful number since it is divisible by the number (28) 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 2682283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802904288).

2682283968 is an abundant number, since it is smaller than the sum of its proper divisors (6923524608).

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

2682283968 is a wasteful number, since it uses less digits than its factorization.

2682283968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 799 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 2682283968 is about 51790.7710697572. The cubic root of 2682283968 is about 1389.4243891022.

The spelling of 2682283968 in words is "two billion, six hundred eighty-two million, two hundred eighty-three thousand, nine hundred sixty-eight".