2004211461 has 16 divisors (see below), whose sum is σ = 3055806464. Its totient is φ = 1144599984.

The previous prime is 2004211457. The next prime is 2004211463. The reversal of 2004211461 is 1641124002.

It is a happy number.

It is not a de Polignac number, because 2004211461 - 2² = 2004211457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004211463) 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, 10680 + ... + 64206.

It is an arithmetic number, because the mean of its divisors is an integer number (190987904).

Almost surely, 2^2004211461 is an apocalyptic number.

2004211461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2004211461 is a deficient number, since it is larger than the sum of its proper divisors (1051595003).

2004211461 is a wasteful number, since it uses less digits than its factorization.

2004211461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55320.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2004211461 is about 44768.4203540844. The cubic root of 2004211461 is about 1260.8047812789.

Adding to 2004211461 its reverse (1641124002), we get a palindrome (3645335463).

The spelling of 2004211461 in words is "two billion, four million, two hundred eleven thousand, four hundred sixty-one".