2241434100 has 144 divisors (see below), whose sum is σ = 6723194688. Its totient is φ = 576092160.

The previous prime is 2241434051. The next prime is 2241434119. The reversal of 2241434100 is 14341422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1253407 + ... + 1255193.

It is an arithmetic number, because the mean of its divisors is an integer number (46688852).

Almost surely, 2^2241434100 is an apocalyptic number.

2241434100 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 2241434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361597344).

2241434100 is an abundant number, since it is smaller than the sum of its proper divisors (4481760588).

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

2241434100 is a wasteful number, since it uses less digits than its factorization.

2241434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2241434100 is about 47343.7862871148. The cubic root of 2241434100 is about 1308.7056928521.

Adding to 2241434100 its reverse (14341422), we get a palindrome (2255775522).

The spelling of 2241434100 in words is "two billion, two hundred forty-one million, four hundred thirty-four thousand, one hundred".