2005224991 has 32 divisors (see below), whose sum is σ = 2571148800. Its totient is φ = 1550203200.

The previous prime is 2005224973. The next prime is 2005224997. The reversal of 2005224991 is 1994225002.

It is not a de Polignac number, because 2005224991 - 2⁵ = 2005224959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005224997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492235 + ... + 496291.

It is an arithmetic number, because the mean of its divisors is an integer number (80348400).

Almost surely, 2^2005224991 is an apocalyptic number.

2005224991 is a deficient number, since it is larger than the sum of its proper divisors (565923809).

2005224991 is a wasteful number, since it uses less digits than its factorization.

2005224991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 2005224991 is about 44779.7386213899. The cubic root of 2005224991 is about 1261.0172751782.

Adding to 2005224991 its reverse (1994225002), we get a palindrome (3999449993).

The spelling of 2005224991 in words is "two billion, five million, two hundred twenty-four thousand, nine hundred ninety-one".