2241413440 has 112 divisors (see below), whose sum is σ = 6115507200. Its totient is φ = 766513152.

The previous prime is 2241413371. The next prime is 2241413441. The reversal of 2241413440 is 443141422.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241413441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071916 + ... + 1074004.

Almost surely, 2^2241413440 is an apocalyptic number.

2241413440 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 2241413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057753600).

2241413440 is an abundant number, since it is smaller than the sum of its proper divisors (3874093760).

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

2241413440 is a wasteful number, since it uses less digits than its factorization.

2241413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2241413440 is about 47343.5680953601. The cubic root of 2241413440 is about 1308.7016719230.

Adding to 2241413440 its reverse (443141422), we get a palindrome (2684554862).

The spelling of 2241413440 in words is "two billion, two hundred forty-one million, four hundred thirteen thousand, four hundred forty".