2004415201 has 16 divisors (see below), whose sum is σ = 2176542720. Its totient is φ = 1840885200.

The previous prime is 2004415183. The next prime is 2004415211. The reversal of 2004415201 is 1025144002.

It is a cyclic number.

It is not a de Polignac number, because 2004415201 - 2¹¹ = 2004413153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004415211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41176 + ... + 75526.

It is an arithmetic number, because the mean of its divisors is an integer number (136033920).

Almost surely, 2^2004415201 is an apocalyptic number.

It is an amenable number.

2004415201 is a deficient number, since it is larger than the sum of its proper divisors (172127519).

2004415201 is a wasteful number, since it uses less digits than its factorization.

2004415201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34476.

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2004415201 is about 44770.6957841845. The cubic root of 2004415201 is about 1260.8475025964.

Adding to 2004415201 its reverse (1025144002), we get a palindrome (3029559203).

It can be divided in two parts, 20044 and 15201, that added together give a triangular number (35245 = T₂₆₅).

The spelling of 2004415201 in words is "two billion, four million, four hundred fifteen thousand, two hundred one".