2224310400 has 432 divisors, whose sum is σ = 8613145710. Its totient is φ = 546324480.

The previous prime is 2224310371. The next prime is 2224310423. The reversal of 2224310400 is 40134222.

2224310400 is a `hidden beast` number, since 22 + 243 + 1 + 0 + 400 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 9290304 + 2215020096 = 3048^2 + 47064^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4866972 + ... + 4867428.

Almost surely, 2^2224310400 is an apocalyptic number.

2224310400 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 2224310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306572855).

2224310400 is an abundant number, since it is smaller than the sum of its proper divisors (6388835310).

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

2224310400 is a wasteful number, since it uses less digits than its factorization.

2224310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2224310400 is about 47162.5953484326. The cubic root of 2224310400 is about 1305.3644994065.

Adding to 2224310400 its reverse (40134222), we get a palindrome (2264444622).

The spelling of 2224310400 in words is "two billion, two hundred twenty-four million, three hundred ten thousand, four hundred".