2224211040 has 144 divisors (see below), whose sum is σ = 7633407600. Its totient is φ = 589741056.

The previous prime is 2224211023. The next prime is 2224211047. The reversal of 2224211040 is 401124222.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2224211040² = 9894229500915763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224211047) 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, 253446 + ... + 262074.

It is an arithmetic number, because the mean of its divisors is an integer number (53009775).

Almost surely, 2^2224211040 is an apocalyptic number.

2224211040 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 2224211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816703800).

2224211040 is an abundant number, since it is smaller than the sum of its proper divisors (5409196560).

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

2224211040 is a wasteful number, since it uses less digits than its factorization.

2224211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8829 (or 8818 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2224211040 is about 47161.5419595246. The cubic root of 2224211040 is about 1305.3450622291.

Adding to 2224211040 its reverse (401124222), we get a palindrome (2625335262).

The spelling of 2224211040 in words is "two billion, two hundred twenty-four million, two hundred eleven thousand, forty".