2241214431000 has 512 divisors, whose sum is σ = 7643890425600. Its totient is φ = 544429670400.

The previous prime is 2241214430977. The next prime is 2241214431013. The reversal of 2241214431000 is 1344121422.

It is a super-2 number, since 2×2241214431000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 371735986 + ... + 371742014.

Almost surely, 2^{2241214431000} is an apocalyptic number.

2241214431000 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 2241214431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821945212800).

2241214431000 is an abundant number, since it is smaller than the sum of its proper divisors (5402675994600).

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

2241214431000 is a wasteful number, since it uses less digits than its factorization.

2241214431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6304 (or 6290 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2241214431000 its reverse (1344121422), we get a palindrome (2242558552422).

The spelling of 2241214431000 in words is "two trillion, two hundred forty-one billion, two hundred fourteen million, four hundred thirty-one thousand".