2682361679680 has 56 divisors (see below), whose sum is σ = 6428057779368. Its totient is φ = 1066110609408.

The previous prime is 2682361679659. The next prime is 2682361679687. The reversal of 2682361679680 is 869761632862.

It can be written as a sum of positive squares in 4 ways, for example, as 74498427136 + 2607863252544 = 272944^2 + 1614888^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682361679687) 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 7 ways as a sum of consecutive naturals, for example, 26645239 + ... + 26745718.

Almost surely, 2^{2682361679680} is an apocalyptic number.

2682361679680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2682361679680 is an abundant number, since it is smaller than the sum of its proper divisors (3745696099688).

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

2682361679680 is a wasteful number, since it uses less digits than its factorization.

2682361679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53391131 (or 53391121 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 64.

The spelling of 2682361679680 in words is "two trillion, six hundred eighty-two billion, three hundred sixty-one million, six hundred seventy-nine thousand, six hundred eighty".