2224046400 has 84 divisors (see below), whose sum is σ = 7296741312. Its totient is φ = 593077760.

The previous prime is 2224046393. The next prime is 2224046401. The reversal of 2224046400 is 46404222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224046401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226872 + ... + 236471.

It is an arithmetic number, because the mean of its divisors is an integer number (86865968).

Almost surely, 2^2224046400 is an apocalyptic number.

2224046400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224046400 is an abundant number, since it is smaller than the sum of its proper divisors (5072694912).

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

2224046400 is a wasteful number, since it uses less digits than its factorization.

2224046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463368 (or 463353 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2224046400 is about 47159.7964372197. The cubic root of 2224046400 is about 1305.3128534578.

The spelling of 2224046400 in words is "two billion, two hundred twenty-four million, forty-six thousand, four hundred".