2211210305440 has 192 divisors, whose sum is σ = 5530199270400. Its totient is φ = 833177124864.

The previous prime is 2211210305413. The next prime is 2211210305453. The reversal of 2211210305440 is 445030121122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822315616 + ... + 822318304.

It is an arithmetic number, because the mean of its divisors is an integer number (28803121200).

Almost surely, 2^{2211210305440} is an apocalyptic number.

2211210305440 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 2211210305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765099635200).

2211210305440 is an abundant number, since it is smaller than the sum of its proper divisors (3318988964960).

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

2211210305440 is a wasteful number, since it uses less digits than its factorization.

2211210305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4159 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 2211210305440 its reverse (445030121122), we get a palindrome (2656240426562).

The spelling of 2211210305440 in words is "two trillion, two hundred eleven billion, two hundred ten million, three hundred five thousand, four hundred forty".