2681767952 has 20 divisors (see below), whose sum is σ = 5501568636. Its totient is φ = 1262008320.

The previous prime is 2681767943. The next prime is 2681767967. The reversal of 2681767952 is 2597671862.

It can be written as a sum of positive squares in 2 ways, for example, as 774174976 + 1907592976 = 27824^2 + 43676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2681767894 and 2681767903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4929449 + ... + 4929992.

Almost surely, 2^2681767952 is an apocalyptic number.

It is an amenable number.

2681767952 is an abundant number, since it is smaller than the sum of its proper divisors (2819800684).

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

2681767952 is a wasteful number, since it uses less digits than its factorization.

2681767952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9859466 (or 9859460 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 53.

The square root of 2681767952 is about 51785.7890931479. The cubic root of 2681767952 is about 1389.3352845424.

The spelling of 2681767952 in words is "two billion, six hundred eighty-one million, seven hundred sixty-seven thousand, nine hundred fifty-two".