2241144400 has 120 divisors (see below), whose sum is σ = 5893221024. Its totient is φ = 812275200.

The previous prime is 2241144397. The next prime is 2241144461. The reversal of 2241144400 is 44411422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1746159 + ... + 1747441.

Almost surely, 2^2241144400 is an apocalyptic number.

2241144400 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 2241144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946610512).

2241144400 is an abundant number, since it is smaller than the sum of its proper divisors (3652076624).

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

2241144400 is a wasteful number, since it uses less digits than its factorization.

2241144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1698 counting only the distinct ones).

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

The square root of 2241144400 is about 47340.7266526402. The cubic root of 2241144400 is about 1308.6493080619.

Adding to 2241144400 its reverse (44411422), we get a palindrome (2285555822).

It can be divided in two parts, 2241 and 144400, that added together give a palindrome (146641).

The spelling of 2241144400 in words is "two billion, two hundred forty-one million, one hundred forty-four thousand, four hundred".