2224329120 has 192 divisors, whose sum is σ = 8384221440. Its totient is φ = 547513344.

The previous prime is 2224329049. The next prime is 2224329139. The reversal of 2224329120 is 219234222.

2224329120 is a `hidden beast` number, since 222 + 432 + 9 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36357 + ... + 75963.

It is an arithmetic number, because the mean of its divisors is an integer number (43667820).

Almost surely, 2^2224329120 is an apocalyptic number.

2224329120 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 2224329120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192110720).

2224329120 is an abundant number, since it is smaller than the sum of its proper divisors (6159892320).

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

2224329120 is a wasteful number, since it uses less digits than its factorization.

2224329120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39644 (or 39630 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2224329120 is about 47162.7938103756. The cubic root of 2224329120 is about 1305.3681614186.

The spelling of 2224329120 in words is "two billion, two hundred twenty-four million, three hundred twenty-nine thousand, one hundred twenty".