2224247040 has 216 divisors, whose sum is σ = 7981803648. Its totient is φ = 593049600.

The previous prime is 2224246991. The next prime is 2224247041. The reversal of 2224247040 is 407424222.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a junction number, because it is equal to n+sod(n) for n = 2224246995 and 2224247013.

It is not an unprimeable number, because it can be changed into a prime (2224247041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307465 + ... + 314615.

Almost surely, 2^2224247040 is an apocalyptic number.

2224247040 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 2224247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990901824).

2224247040 is an abundant number, since it is smaller than the sum of its proper divisors (5757556608).

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

2224247040 is an frugal number, since it uses more digits than its factorization.

2224247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7187 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 2224247040 is about 47161.9236248905. The cubic root of 2224247040 is about 1305.3521047515.

The spelling of 2224247040 in words is "two billion, two hundred twenty-four million, two hundred forty-seven thousand, forty".