2005642773 has 12 divisors (see below), whose sum is σ = 2898612288. Its totient is φ = 1336369320.

The previous prime is 2005642759. The next prime is 2005642787. The reversal of 2005642773 is 3772465002.

It is a happy number.

2005642773 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 642 + 7 + 7 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (2005642759) and next prime (2005642787).

It is not a de Polignac number, because 2005642773 - 2⁵ = 2005642741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005642753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42715 + ... + 76392.

It is an arithmetic number, because the mean of its divisors is an integer number (241551024).

Almost surely, 2^2005642773 is an apocalyptic number.

It is an amenable number.

2005642773 is a deficient number, since it is larger than the sum of its proper divisors (892969515).

2005642773 is a wasteful number, since it uses less digits than its factorization.

2005642773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120984 (or 120981 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2005642773 is about 44784.4032337152. The cubic root of 2005642773 is about 1261.1048453575.

The spelling of 2005642773 in words is "two billion, five million, six hundred forty-two thousand, seven hundred seventy-three".