2224142400 has 84 divisors (see below), whose sum is σ = 7297056272. Its totient is φ = 593103360.

The previous prime is 2224142381. The next prime is 2224142407. The reversal of 2224142400 is 42414222.

It is not an unprimeable number, because it can be changed into a prime (2224142407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226882 + ... + 236481.

Almost surely, 2^2224142400 is an apocalyptic number.

2224142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224142400 is an abundant number, since it is smaller than the sum of its proper divisors (5072913872).

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

2224142400 is a wasteful number, since it uses less digits than its factorization.

2224142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463388 (or 463373 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2224142400 is about 47160.8142423347. The cubic root of 2224142400 is about 1305.3316342756.

Adding to 2224142400 its reverse (42414222), we get a palindrome (2266556622).

The spelling of 2224142400 in words is "two billion, two hundred twenty-four million, one hundred forty-two thousand, four hundred".