2241122240 has 224 divisors, whose sum is σ = 6511259520. Its totient is φ = 717225984.

The previous prime is 2241122239. The next prime is 2241122243. The reversal of 2241122240 is 422211422.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241122243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8720192 + ... + 8720448.

Almost surely, 2^2241122240 is an apocalyptic number.

2241122240 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 2241122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255629760).

2241122240 is an abundant number, since it is smaller than the sum of its proper divisors (4270137280).

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

2241122240 is a wasteful number, since it uses less digits than its factorization.

2241122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2241122240 is about 47340.4926041122. The cubic root of 2241122240 is about 1308.6449948244.

Adding to 2241122240 its reverse (422211422), we get a palindrome (2663333662).

The spelling of 2241122240 in words is "two billion, two hundred forty-one million, one hundred twenty-two thousand, two hundred forty".