2224467120 has 80 divisors (see below), whose sum is σ = 6902058240. Its totient is φ = 592657152.

The previous prime is 2224467109. The next prime is 2224467137. The reversal of 2224467120 is 217644222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2224467120² = 9896507935922188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 313047 + ... + 320073.

It is an arithmetic number, because the mean of its divisors is an integer number (86275728).

Almost surely, 2^2224467120 is an apocalyptic number.

2224467120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224467120 is an abundant number, since it is smaller than the sum of its proper divisors (4677591120).

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

2224467120 is a wasteful number, since it uses less digits than its factorization.

2224467120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8362 (or 8356 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2224467120 is about 47164.2568053394. The cubic root of 2224467120 is about 1305.3951563868.

The spelling of 2224467120 in words is "two billion, two hundred twenty-four million, four hundred sixty-seven thousand, one hundred twenty".