2241340416 has 352 divisors, whose sum is σ = 7815937280. Its totient is φ = 621084672.

The previous prime is 2241340403. The next prime is 2241340417. The reversal of 2241340416 is 6140431422.

It is a happy number.

2241340416 is a `hidden beast` number, since 2 + 241 + 3 + 4 + 0 + 416 = 666.

It is a super-3 number, since 3×2241340416³ (a number of 29 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2241340416.

It is not an unprimeable number, because it can be changed into a prime (2241340417) 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, 7160676 + ... + 7160988.

Almost surely, 2^2241340416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907968640).

2241340416 is an abundant number, since it is smaller than the sum of its proper divisors (5574596864).

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

2241340416 is a wasteful number, since it uses less digits than its factorization.

2241340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2241340416 is about 47342.7968755544. The cubic root of 2241340416 is about 1308.6874595118.

Adding to 2241340416 its reverse (6140431422), we get a palindrome (8381771838).

The spelling of 2241340416 in words is "two billion, two hundred forty-one million, three hundred forty thousand, four hundred sixteen".