2004220400 has 120 divisors (see below), whose sum is σ = 5926433184. Its totient is φ = 634291200.

The previous prime is 2004220399. The next prime is 2004220429. The reversal of 2004220400 is 40224002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8870 + ... + 63930.

Almost surely, 2^2004220400 is an apocalyptic number.

2004220400 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 2004220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963216592).

2004220400 is an abundant number, since it is smaller than the sum of its proper divisors (3922212784).

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

2004220400 is a wasteful number, since it uses less digits than its factorization.

2004220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55099 (or 55088 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2004220400 is about 44768.5201899728. The cubic root of 2004220400 is about 1260.8066557180.

Adding to 2004220400 its reverse (40224002), we get a palindrome (2044444402).

The spelling of 2004220400 in words is "two billion, four million, two hundred twenty thousand, four hundred".