2682984826368 has 640 divisors, whose sum is σ = 9916195322880. Its totient is φ = 695844864000.

The previous prime is 2682984826363. The next prime is 2682984826381. The reversal of 2682984826368 is 8636284892862.

2682984826368 is a `hidden beast` number, since 2 + 6 + 8 + 29 + 8 + 482 + 63 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 2682984826296 and 2682984826305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682984826363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 937777258 + ... + 937780118.

It is an arithmetic number, because the mean of its divisors is an integer number (15494055192).

Almost surely, 2^{2682984826368} is an apocalyptic number.

2682984826368 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 2682984826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958097661440).

2682984826368 is an abundant number, since it is smaller than the sum of its proper divisors (7233210496512).

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

2682984826368 is a wasteful number, since it uses less digits than its factorization.

2682984826368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3765 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 72.

The spelling of 2682984826368 in words is "two trillion, six hundred eighty-two billion, nine hundred eighty-four million, eight hundred twenty-six thousand, three hundred sixty-eight".