2241414400 has 108 divisors (see below), whose sum is σ = 5789441952. Its totient is φ = 857528320.

The previous prime is 2241414397. The next prime is 2241414403. The reversal of 2241414400 is 44141422.

It is an interprime number because it is at equal distance from previous prime (2241414397) and next prime (2241414403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241414403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139587 + ... + 154813.

It is an arithmetic number, because the mean of its divisors is an integer number (53605944).

Almost surely, 2^2241414400 is an apocalyptic number.

2241414400 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 2241414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894720976).

2241414400 is an abundant number, since it is smaller than the sum of its proper divisors (3548027552).

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

2241414400 is a wasteful number, since it uses less digits than its factorization.

2241414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15276 (or 15257 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2241414400 is about 47343.5782340118. The cubic root of 2241414400 is about 1308.7018587625.

Adding to 2241414400 its reverse (44141422), we get a palindrome (2285555822).

The spelling of 2241414400 in words is "two billion, two hundred forty-one million, four hundred fourteen thousand, four hundred".