2008742761 has 3 divisors (see below), whose sum is σ = 2008787581. Its totient is φ = 2008697942.

The previous prime is 2008742759. The next prime is 2008742777. The reversal of 2008742761 is 1672478002.

The square root of 2008742761 is 44819.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 2008742761 - 2¹ = 2008742759 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2008742761.

It is not an unprimeable number, because it can be changed into a prime (2008742711) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 22410 + ... + 67228.

Almost surely, 2^2008742761 is an apocalyptic number.

2008742761 is the 44819-th square number.

2008742761 is the 22410-th centered octagonal number.

It is an amenable number.

2008742761 is a deficient number, since it is larger than the sum of its proper divisors (44820).

2008742761 is an frugal number, since it uses more digits than its factorization.

2008742761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89638 (or 44819 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The cubic root of 2008742761 is about 1261.7542460544.

It can be divided in two parts, 2008 and 742761, that added together give a square (744769 = 863²).

The spelling of 2008742761 in words is "two billion, eight million, seven hundred forty-two thousand, seven hundred sixty-one".