2241331000 has 128 divisors (see below), whose sum is σ = 5733711360. Its totient is φ = 816384000.

The previous prime is 2241330997. The next prime is 2241331003. The reversal of 2241331000 is 1331422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2241330997) and next prime (2241331003).

It is a super-2 number, since 2×2241331000² = 10047129303122000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241331003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 524874 + ... + 529126.

It is an arithmetic number, because the mean of its divisors is an integer number (44794620).

Almost surely, 2^2241331000 is an apocalyptic number.

2241331000 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 2241331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866855680).

2241331000 is an abundant number, since it is smaller than the sum of its proper divisors (3492380360).

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

2241331000 is a wasteful number, since it uses less digits than its factorization.

2241331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2241331000 is about 47342.6974305436. The cubic root of 2241331000 is about 1308.6856268854.

Adding to 2241331000 its reverse (1331422), we get a palindrome (2242662422).

The spelling of 2241331000 in words is "two billion, two hundred forty-one million, three hundred thirty-one thousand".