2241331400000 has 1008 divisors, whose sum is σ = 7106433409152. Its totient is φ = 686400000000.

The previous prime is 2241331399997. The next prime is 2241331400071. The reversal of 2241331400000 is 41331422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17109399935 + ... + 17109400065.

It is an arithmetic number, because the mean of its divisors is an integer number (7050033144).

Almost surely, 2^{2241331400000} is an apocalyptic number.

2241331400000 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 2241331400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553216704576).

2241331400000 is an abundant number, since it is smaller than the sum of its proper divisors (4865102009152).

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

2241331400000 is a wasteful number, since it uses less digits than its factorization.

2241331400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2241331400000 its reverse (41331422), we get a palindrome (2241372731422).

It can be divided in two parts, 22413 and 31400000, that added together give a palindrome (31422413).

The spelling of 2241331400000 in words is "two trillion, two hundred forty-one billion, three hundred thirty-one million, four hundred thousand".