2144224800 has 108 divisors (see below), whose sum is σ = 7561098090. Its totient is φ = 571791360.

The previous prime is 2144224793. The next prime is 2144224811. The reversal of 2144224800 is 84224412.

It can be written as a sum of positive squares in 3 ways, for example, as 2065157136 + 79067664 = 45444^2 + 8892^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 141705 + ... + 156104.

Almost surely, 2^2144224800 is an apocalyptic number.

2144224800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144224800 is an abundant number, since it is smaller than the sum of its proper divisors (5416873290).

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

2144224800 is a wasteful number, since it uses less digits than its factorization.

2144224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297835 (or 297819 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2144224800 is about 46305.7750178096. The cubic root of 2144224800 is about 1289.5062108662.

The spelling of 2144224800 in words is "two billion, one hundred forty-four million, two hundred twenty-four thousand, eight hundred".