2224721520 has 180 divisors, whose sum is σ = 8691307560. Its totient is φ = 508499712.

The previous prime is 2224721509. The next prime is 2224721539. The reversal of 2224721520 is 251274222.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×2224721520² = 9898771683102220800, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 3751 + ... + 66809.

It is an arithmetic number, because the mean of its divisors is an integer number (48285042).

Almost surely, 2^2224721520 is an apocalyptic number.

2224721520 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 2224721520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345653780).

2224721520 is an abundant number, since it is smaller than the sum of its proper divisors (6466586040).

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

2224721520 is a wasteful number, since it uses less digits than its factorization.

2224721520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63092 (or 63076 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2224721520 is about 47166.9536858169. The cubic root of 2224721520 is about 1305.4449180976. Note that the first 3 decimals are identical.

Adding to 2224721520 its reverse (251274222), we get a palindrome (2475995742).

The spelling of 2224721520 in words is "two billion, two hundred twenty-four million, seven hundred twenty-one thousand, five hundred twenty".