2004226458 has 64 divisors (see below), whose sum is σ = 4578456960. Its totient is φ = 579428352.

The previous prime is 2004226451. The next prime is 2004226487. The reversal of 2004226458 is 8546224002.

It is not an unprimeable number, because it can be changed into a prime (2004226451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231041 + ... + 1232667.

It is an arithmetic number, because the mean of its divisors is an integer number (71538390).

Almost surely, 2^2004226458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004226458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289228480).

2004226458 is an abundant number, since it is smaller than the sum of its proper divisors (2574230502).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2004226458 is a wasteful number, since it uses less digits than its factorization.

2004226458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591.

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2004226458 is about 44768.5878490711. The cubic root of 2004226458 is about 1260.8079260306.

The spelling of 2004226458 in words is "two billion, four million, two hundred twenty-six thousand, four hundred fifty-eight".