2241282068400 has 240 divisors, whose sum is σ = 7373896611840. Its totient is φ = 581602022400.

The previous prime is 2241282068387. The next prime is 2241282068483. The reversal of 2241282068400 is 48602821422.

It is a tau number, because it is divible by the number of its divisors (240).

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, 13799665 + ... + 13961135.

It is an arithmetic number, because the mean of its divisors is an integer number (30724569216).

Almost surely, 2^{2241282068400} is an apocalyptic number.

2241282068400 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 2241282068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686948305920).

2241282068400 is an abundant number, since it is smaller than the sum of its proper divisors (5132614543440).

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

2241282068400 is a wasteful number, since it uses less digits than its factorization.

2241282068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161804 (or 161793 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

Adding to 2241282068400 its reverse (48602821422), we get a palindrome (2289884889822).

The spelling of 2241282068400 in words is "two trillion, two hundred forty-one billion, two hundred eighty-two million, sixty-eight thousand, four hundred".