2682766603264 has 352 divisors, whose sum is σ = 6429066940800. Its totient is φ = 1104528015360.

The previous prime is 2682766603207. The next prime is 2682766603271. The reversal of 2682766603264 is 4623066672862.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 2682766603199 and 2682766603208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2326770112 + ... + 2326771264.

Almost surely, 2^{2682766603264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2682766603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214533470400).

2682766603264 is an abundant number, since it is smaller than the sum of its proper divisors (3746300337536).

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

2682766603264 is a wasteful number, since it uses less digits than its factorization.

2682766603264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 58.

The spelling of 2682766603264 in words is "two trillion, six hundred eighty-two billion, seven hundred sixty-six million, six hundred three thousand, two hundred sixty-four".