2005294761 has 6 divisors (see below), whose sum is σ = 2896536890. Its totient is φ = 1336863168.

The previous prime is 2005294757. The next prime is 2005294777. The reversal of 2005294761 is 1674925002.

It can be written as a sum of positive squares in only one way, i.e., 1879742736 + 125552025 = 43356^2 + 11205^2 .

It is not a de Polignac number, because 2005294761 - 2² = 2005294757 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005294741) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111405256 + ... + 111405273.

Almost surely, 2^2005294761 is an apocalyptic number.

It is an amenable number.

2005294761 is a deficient number, since it is larger than the sum of its proper divisors (891242129).

2005294761 is a wasteful number, since it uses less digits than its factorization.

2005294761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222810535 (or 222810532 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2005294761 is about 44780.5176499781. The cubic root of 2005294761 is about 1261.0319003292.

The spelling of 2005294761 in words is "two billion, five million, two hundred ninety-four thousand, seven hundred sixty-one".