2224400400 has 120 divisors (see below), whose sum is σ = 7917256160. Its totient is φ = 593170560.

The previous prime is 2224400383. The next prime is 2224400401. The reversal of 2224400400 is 40044222.

2224400400 is a `hidden beast` number, since 2 + 224 + 40 + 0 + 400 = 666.

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 (18).

It is not an unprimeable number, because it can be changed into a prime (2224400401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92182 + ... + 113781.

Almost surely, 2^2224400400 is an apocalyptic number.

2224400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224400400 is an abundant number, since it is smaller than the sum of its proper divisors (5692855760).

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

2224400400 is a wasteful number, since it uses less digits than its factorization.

2224400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205990 (or 205973 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2224400400 is about 47163.5494847451. The cubic root of 2224400400 is about 1305.3821050459.

Adding to 2224400400 its reverse (40044222), we get a palindrome (2264444622).

The spelling of 2224400400 in words is "two billion, two hundred twenty-four million, four hundred thousand, four hundred".