2241142400240 has 80 divisors (see below), whose sum is σ = 5262206197248. Its totient is φ = 887591309568.

The previous prime is 2241142400227. The next prime is 2241142400261. The reversal of 2241142400240 is 420042411422.

It is a happy number.

2241142400240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51585407 + ... + 51628833.

Almost surely, 2^{2241142400240} is an apocalyptic number.

2241142400240 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 2241142400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631103098624).

2241142400240 is an abundant number, since it is smaller than the sum of its proper divisors (3021063797008).

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

2241142400240 is a wasteful number, since it uses less digits than its factorization.

2241142400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49806 (or 49800 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 2241142400240 its reverse (420042411422), we get a palindrome (2661184811662).

The spelling of 2241142400240 in words is "two trillion, two hundred forty-one billion, one hundred forty-two million, four hundred thousand, two hundred forty".