2241040044100 has 216 divisors, whose sum is σ = 5955036743880. Its totient is φ = 726296524800.

The previous prime is 2241040044091. The next prime is 2241040044107. The reversal of 2241040044100 is 14400401422.

It can be written as a sum of positive squares in 12 ways, for example, as 1583127634176 + 657912409924 = 1258224^2 + 811118^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2241040044107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4316064 + ... + 4807336.

It is an arithmetic number, because the mean of its divisors is an integer number (27569614555).

Almost surely, 2^{2241040044100} is an apocalyptic number.

2241040044100 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 2241040044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977518371940).

2241040044100 is an abundant number, since it is smaller than the sum of its proper divisors (3713996699780).

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

2241040044100 is a wasteful number, since it uses less digits than its factorization.

2241040044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491351 (or 491333 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 2241040044100 its reverse (14400401422), we get a palindrome (2255440445522).

The spelling of 2241040044100 in words is "two trillion, two hundred forty-one billion, forty million, forty-four thousand, one hundred".