2211401034240 has 320 divisors, whose sum is σ = 7362971953920. Its totient is φ = 565682503680.

The previous prime is 2211401034217. The next prime is 2211401034251. The reversal of 2211401034240 is 424301041122.

It is a tau number, because it is divible by the number of its divisors (320).

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 2211401034240.

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, 20120556 + ... + 20230164.

It is an arithmetic number, because the mean of its divisors is an integer number (23009287356).

Almost surely, 2^{2211401034240} is an apocalyptic number.

2211401034240 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 2211401034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681485976960).

2211401034240 is an abundant number, since it is smaller than the sum of its proper divisors (5151570919680).

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

2211401034240 is a wasteful number, since it uses less digits than its factorization.

2211401034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109743 (or 109727 counting only the distinct ones).

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

Adding to 2211401034240 its reverse (424301041122), we get a palindrome (2635702075362).

The spelling of 2211401034240 in words is "two trillion, two hundred eleven billion, four hundred one million, thirty-four thousand, two hundred forty".