2682773239968 has 72 divisors (see below), whose sum is σ = 7835329307988. Its totient is φ = 870088614912.

The previous prime is 2682773239903. The next prime is 2682773240057. The reversal of 2682773239968 is 8699323772862.

It is a happy number.

2682773239968 is a `hidden beast` number, since 2 + 6 + 82 + 77 + 32 + 399 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1777710222864 + 905063017104 = 1333308^2 + 951348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2682773239968² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2682773239896 and 2682773239905.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125870221 + ... + 125891532.

Almost surely, 2^{2682773239968} is an apocalyptic number.

It is an amenable number.

2682773239968 is an abundant number, since it is smaller than the sum of its proper divisors (5152556068020).

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

2682773239968 is a wasteful number, since it uses less digits than its factorization.

2682773239968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251761806 (or 251761795 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 2682773239968 in words is "two trillion, six hundred eighty-two billion, seven hundred seventy-three million, two hundred thirty-nine thousand, nine hundred sixty-eight".