2004217600 has 432 divisors, whose sum is σ = 6387091200. Its totient is φ = 617164800.

The previous prime is 2004217583. The next prime is 2004217619. The reversal of 2004217600 is 67124002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24147159 + ... + 24147241.

Almost surely, 2^2004217600 is an apocalyptic number.

2004217600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193545600).

2004217600 is an abundant number, since it is smaller than the sum of its proper divisors (4382873600).

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

2004217600 is an equidigital number, since it uses as much as digits as its factorization.

2004217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2004217600 is about 44768.4889179878. The cubic root of 2004217600 is about 1260.8060685803.

The spelling of 2004217600 in words is "two billion, four million, two hundred seventeen thousand, six hundred".