2224202640 has 240 divisors, whose sum is σ = 7637511168. Its totient is φ = 535040000.

The previous prime is 2224202549. The next prime is 2224202641. The reversal of 2224202640 is 462024222.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2224202640.

It is not an unprimeable number, because it can be changed into a prime (2224202641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5546440 + ... + 5546840.

Almost surely, 2^2224202640 is an apocalyptic number.

2224202640 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 2224202640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818755584).

2224202640 is an abundant number, since it is smaller than the sum of its proper divisors (5413308528).

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

2224202640 is a wasteful number, since it uses less digits than its factorization.

2224202640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2224202640 is about 47161.4529038281. The cubic root of 2224202640 is about 1305.3434189629.

Adding to 2224202640 its reverse (462024222), we get a palindrome (2686226862).

The spelling of 2224202640 in words is "two billion, two hundred twenty-four million, two hundred two thousand, six hundred forty".