2810681006049 has 24 divisors (see below), whose sum is σ = 4657496418432. Its totient is φ = 1599996565440.

The previous prime is 2810681006027. The next prime is 2810681006071. The reversal of 2810681006049 is 9406001860182.

2810681006049 is a `hidden beast` number, since 28 + 1 + 0 + 6 + 8 + 10 + 0 + 604 + 9 = 666.

2810681006049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2810681006027) and next prime (2810681006071).

It is not a de Polignac number, because 2810681006049 - 2¹³ = 2810680997857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2810681005995 and 2810681006013.

It is not an unprimeable number, because it can be changed into a prime (2810681002049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84800892 + ... + 84834029.

It is an arithmetic number, because the mean of its divisors is an integer number (194062350768).

Almost surely, 2^{2810681006049} is an apocalyptic number.

It is an amenable number.

2810681006049 is a deficient number, since it is larger than the sum of its proper divisors (1846815412383).

2810681006049 is a wasteful number, since it uses less digits than its factorization.

2810681006049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169635197 (or 169635194 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 2810681006049 in words is "two trillion, eight hundred ten billion, six hundred eighty-one million, six thousand, forty-nine".