2241135000 has 320 divisors, whose sum is σ = 8384191200. Its totient is φ = 551232000.

The previous prime is 2241134983. The next prime is 2241135037. The reversal of 2241135000 is 5311422.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 79 ways as a sum of consecutive naturals, for example, 1754362 + ... + 1755638.

Almost surely, 2^2241135000 is an apocalyptic number.

2241135000 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 2241135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192095600).

2241135000 is an abundant number, since it is smaller than the sum of its proper divisors (6143056200).

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

2241135000 is a wasteful number, since it uses less digits than its factorization.

2241135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2241135000 is about 47340.6273722687. The cubic root of 2241135000 is about 1308.6474784430.

Adding to 2241135000 its reverse (5311422), we get a palindrome (2246446422).

The spelling of 2241135000 in words is "two billion, two hundred forty-one million, one hundred thirty-five thousand".