2211474817664 has 480 divisors, whose sum is σ = 5608078842240. Its totient is φ = 867576407040.

The previous prime is 2211474817661. The next prime is 2211474817691. The reversal of 2211474817664 is 4667184741122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2211474817661) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3439307327 + ... + 3439307969.

It is an arithmetic number, because the mean of its divisors is an integer number (11683497588).

Almost surely, 2^{2211474817664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211474817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804039421120).

2211474817664 is an abundant number, since it is smaller than the sum of its proper divisors (3396604024576).

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

2211474817664 is an frugal number, since it uses more digits than its factorization.

2211474817664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 702 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 53.

The spelling of 2211474817664 in words is "two trillion, two hundred eleven billion, four hundred seventy-four million, eight hundred seventeen thousand, six hundred sixty-four".