2222142400 has 168 divisors, whose sum is σ = 5734476720. Its totient is φ = 846397440.

The previous prime is 2222142383. The next prime is 2222142431. The reversal of 2222142400 is 42412222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3850912 + ... + 3851488.

It is an arithmetic number, because the mean of its divisors is an integer number (34133790).

Almost surely, 2^2222142400 is an apocalyptic number.

2222142400 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 2222142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867238360).

2222142400 is an abundant number, since it is smaller than the sum of its proper divisors (3512334320).

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

2222142400 is a wasteful number, since it uses less digits than its factorization.

2222142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2222142400 is about 47139.6054289808. The cubic root of 2222142400 is about 1304.9402555308.

Adding to 2222142400 its reverse (42412222), we get a palindrome (2264554622).

The spelling of 2222142400 in words is "two billion, two hundred twenty-two million, one hundred forty-two thousand, four hundred".