2681037657 has 16 divisors (see below), whose sum is σ = 4037023360. Its totient is φ = 1758056400.

The previous prime is 2681037647. The next prime is 2681037673. The reversal of 2681037657 is 7567301862.

2681037657 is a `hidden beast` number, since 268 + 10 + 376 + 5 + 7 = 666.

It is not a de Polignac number, because 2681037657 - 2¹² = 2681033561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2681037637) 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 15 ways as a sum of consecutive naturals, for example, 812269 + ... + 815562.

It is an arithmetic number, because the mean of its divisors is an integer number (252313960).

Almost surely, 2^2681037657 is an apocalyptic number.

2681037657 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2681037657 is a deficient number, since it is larger than the sum of its proper divisors (1355985703).

2681037657 is a wasteful number, since it uses less digits than its factorization.

2681037657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627901 (or 1627895 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2681037657 is about 51778.7374990932. The cubic root of 2681037657 is about 1389.2091591972.

The spelling of 2681037657 in words is "two billion, six hundred eighty-one million, thirty-seven thousand, six hundred fifty-seven".