2241054400 has 168 divisors, whose sum is σ = 5984051024. Its totient is φ = 821145600.

The previous prime is 2241054397. The next prime is 2241054419. The reversal of 2241054400 is 44501422.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3390070 + ... + 3390730.

Almost surely, 2^2241054400 is an apocalyptic number.

2241054400 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 2241054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992025512).

2241054400 is an abundant number, since it is smaller than the sum of its proper divisors (3742996624).

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

2241054400 is a wasteful number, since it uses less digits than its factorization.

2241054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2241054400 is about 47339.7760873454. The cubic root of 2241054400 is about 1308.6317902238.

Adding to 2241054400 its reverse (44501422), we get a palindrome (2285555822).

The spelling of 2241054400 in words is "two billion, two hundred forty-one million, fifty-four thousand, four hundred".