2681331205 has 96 divisors (see below), whose sum is σ = 4310184960. Its totient is φ = 1585059840.

The previous prime is 2681331203. The next prime is 2681331253. The reversal of 2681331205 is 5021331862.

It is not a de Polignac number, because 2681331205 - 2¹ = 2681331203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681331203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2452639 + ... + 2453731.

It is an arithmetic number, because the mean of its divisors is an integer number (44897760).

Almost surely, 2^2681331205 is an apocalyptic number.

It is an amenable number.

2681331205 is a deficient number, since it is larger than the sum of its proper divisors (1628853755).

2681331205 is a wasteful number, since it uses less digits than its factorization.

2681331205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2681331205 is about 51781.5720599520. The cubic root of 2681331205 is about 1389.2598590555.

The spelling of 2681331205 in words is "two billion, six hundred eighty-one million, three hundred thirty-one thousand, two hundred five".