2682768332160 has 512 divisors, whose sum is σ = 11089886515200. Its totient is φ = 600156020736.

The previous prime is 2682768332107. The next prime is 2682768332183. The reversal of 2682768332160 is 612338672862.

2682768332160 is a `hidden beast` number, since 2 + 6 + 82 + 76 + 8 + 332 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2682768332097 and 2682768332106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5449174 + ... + 5921066.

It is an arithmetic number, because the mean of its divisors is an integer number (21659934600).

Almost surely, 2^{2682768332160} is an apocalyptic number.

2682768332160 is a gapful number since it is divisible by the number (20) 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 2682768332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544943257600).

2682768332160 is an abundant number, since it is smaller than the sum of its proper divisors (8407118183040).

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

2682768332160 is a wasteful number, since it uses less digits than its factorization.

2682768332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471975 (or 471957 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2682768332160 in words is "two trillion, six hundred eighty-two billion, seven hundred sixty-eight million, three hundred thirty-two thousand, one hundred sixty".