2243211210240 has 1280 divisors, whose sum is σ = 9720517847040. Its totient is φ = 426159636480.

The previous prime is 2243211210223. The next prime is 2243211210241. The reversal of 2243211210240 is 420121123422.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2243211210240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243211210241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 837955782 + ... + 837958458.

It is an arithmetic number, because the mean of its divisors is an integer number (7594154568).

Almost surely, 2^{2243211210240} is an apocalyptic number.

2243211210240 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 2243211210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860258923520).

2243211210240 is an abundant number, since it is smaller than the sum of its proper divisors (7477306636800).

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

2243211210240 is a wasteful number, since it uses less digits than its factorization.

2243211210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2243211210240 its reverse (420121123422), we get a palindrome (2663332333662).

The spelling of 2243211210240 in words is "two trillion, two hundred forty-three billion, two hundred eleven million, two hundred ten thousand, two hundred forty".