2278224000 has 384 divisors, whose sum is σ = 8818271280. Its totient is φ = 560332800.

The previous prime is 2278223953. The next prime is 2278224001. The reversal of 2278224000 is 4228722.

It can be written as a sum of positive squares in 8 ways, for example, as 22353984 + 2255870016 = 4728^2 + 47496^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2278224001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1871392 + ... + 1872608.

Almost surely, 2^2278224000 is an apocalyptic number.

2278224000 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 2278224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409135640).

2278224000 is an abundant number, since it is smaller than the sum of its proper divisors (6540047280).

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

2278224000 is a wasteful number, since it uses less digits than its factorization.

2278224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2278224000 is about 47730.7448087708. The cubic root of 2278224000 is about 1315.8270421835.

The spelling of 2278224000 in words is "two billion, two hundred seventy-eight million, two hundred twenty-four thousand".