2204120400 has 120 divisors (see below), whose sum is σ = 7072252704. Its totient is φ = 586790400.

The previous prime is 2204120389. The next prime is 2204120411. The reversal of 2204120400 is 40214022.

It is an interprime number because it is at equal distance from previous prime (2204120389) and next prime (2204120411).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2204120400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 991290 + ... + 993510.

Almost surely, 2^2204120400 is an apocalyptic number.

2204120400 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 2204120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536126352).

2204120400 is an abundant number, since it is smaller than the sum of its proper divisors (4868132304).

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

2204120400 is a wasteful number, since it uses less digits than its factorization.

2204120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2204120400 is about 46948.0606628218. The cubic root of 2204120400 is about 1301.4029036486.

Adding to 2204120400 its reverse (40214022), we get a palindrome (2244334422).

The spelling of 2204120400 in words is "two billion, two hundred four million, one hundred twenty thousand, four hundred".