2004466200 has 384 divisors, whose sum is σ = 7139543040. Its totient is φ = 460800000.

The previous prime is 2004466187. The next prime is 2004466229. The reversal of 2004466200 is 26644002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19846150 + ... + 19846250.

It is an arithmetic number, because the mean of its divisors is an integer number (18592560).

Almost surely, 2^2004466200 is an apocalyptic number.

2004466200 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 2004466200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569771520).

2004466200 is an abundant number, since it is smaller than the sum of its proper divisors (5135076840).

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

2004466200 is a wasteful number, since it uses less digits than its factorization.

2004466200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2004466200 is about 44771.2653383842. The cubic root of 2004466200 is about 1260.8581958926.

The spelling of 2004466200 in words is "two billion, four million, four hundred sixty-six thousand, two hundred".