2681837145 has 96 divisors (see below), whose sum is σ = 5365930752. Its totient is φ = 1228525056.

The previous prime is 2681837117. The next prime is 2681837149. The reversal of 2681837145 is 5417381862.

2681837145 is a `hidden beast` number, since 268 + 18 + 371 + 4 + 5 = 666.

It is not a de Polignac number, because 2681837145 - 2⁵ = 2681837113 is a prime.

It is a super-3 number, since 3×2681837145³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2681837145.

It is not an unprimeable number, because it can be changed into a prime (2681837149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 495142 + ... + 500528.

It is an arithmetic number, because the mean of its divisors is an integer number (55895112).

Almost surely, 2^2681837145 is an apocalyptic number.

It is an amenable number.

2681837145 is an abundant number, since it is smaller than the sum of its proper divisors (2684093607).

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

2681837145 is a wasteful number, since it uses less digits than its factorization.

2681837145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471 (or 5468 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 2681837145 is about 51786.4571582185. The cubic root of 2681837145 is about 1389.3472333080.

The spelling of 2681837145 in words is "two billion, six hundred eighty-one million, eight hundred thirty-seven thousand, one hundred forty-five".