2211418664 has 256 divisors, whose sum is σ = 5745600000. Its totient is φ = 773369856.

The previous prime is 2211418571. The next prime is 2211418669. The reversal of 2211418664 is 4668141122.

Its product of digits (18432) is a multiple of the sum of its prime divisors (256).

It is not an unprimeable number, because it can be changed into a prime (2211418669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14841662 + ... + 14841810.

It is an arithmetic number, because the mean of its divisors is an integer number (22443750).

Almost surely, 2^2211418664 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 2211418664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800000).

2211418664 is an abundant number, since it is smaller than the sum of its proper divisors (3534181336).

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

2211418664 is a wasteful number, since it uses less digits than its factorization.

2211418664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 2211418664 is about 47025.7234287788. The cubic root of 2211418664 is about 1302.8377190957.

Adding to 2211418664 its reverse (4668141122), we get a palindrome (6879559786).

The spelling of 2211418664 in words is "two billion, two hundred eleven million, four hundred eighteen thousand, six hundred sixty-four".