2224342400 has 192 divisors, whose sum is σ = 6324000000. Its totient is φ = 757278720.

The previous prime is 2224342391. The next prime is 2224342423. The reversal of 2224342400 is 42434222.

It is a super-2 number, since 2×2224342400² = 9895398224875520000, which contains 22 as substring.

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, 4457351 + ... + 4457849.

It is an arithmetic number, because the mean of its divisors is an integer number (32937500).

Almost surely, 2^2224342400 is an apocalyptic number.

2224342400 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 2224342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162000000).

2224342400 is an abundant number, since it is smaller than the sum of its proper divisors (4099657600).

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

2224342400 is a wasteful number, since it uses less digits than its factorization.

2224342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 2224342400 is about 47162.9345991108. The cubic root of 2224342400 is about 1305.3707592438.

Adding to 2224342400 its reverse (42434222), we get a palindrome (2266776622).

The spelling of 2224342400 in words is "two billion, two hundred twenty-four million, three hundred forty-two thousand, four hundred".