2241430400 has 192 divisors, whose sum is σ = 6207258960. Its totient is φ = 792576000.

The previous prime is 2241430391. The next prime is 2241430459. The reversal of 2241430400 is 40341422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1301540 + ... + 1303260.

Almost surely, 2^2241430400 is an apocalyptic number.

2241430400 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 2241430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103629480).

2241430400 is an abundant number, since it is smaller than the sum of its proper divisors (3965828560).

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

2241430400 is a wasteful number, since it uses less digits than its factorization.

2241430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2241430400 is about 47343.7472112210. The cubic root of 2241430400 is about 1308.7049727456.

Adding to 2241430400 its reverse (40341422), we get a palindrome (2281771822).

The spelling of 2241430400 in words is "two billion, two hundred forty-one million, four hundred thirty thousand, four hundred".