2681414464 has 28 divisors (see below), whose sum is σ = 5336222500. Its totient is φ = 1336854528.

The previous prime is 2681414447. The next prime is 2681414467. The reversal of 2681414464 is 4644141862.

It can be written as a sum of positive squares in 2 ways, for example, as 2342560000 + 338854464 = 48400^2 + 18408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681414467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37689 + ... + 82360.

It is an arithmetic number, because the mean of its divisors is an integer number (190579375).

Almost surely, 2^2681414464 is an apocalyptic number.

It is an amenable number.

2681414464 is a deficient number, since it is larger than the sum of its proper divisors (2654808036).

2681414464 is a wasteful number, since it uses less digits than its factorization.

2681414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120410 (or 120400 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 2681414464 is about 51782.3759980169. The cubic root of 2681414464 is about 1389.2742383794.

The spelling of 2681414464 in words is "two billion, six hundred eighty-one million, four hundred fourteen thousand, four hundred sixty-four".