2211271664 has 80 divisors (see below), whose sum is σ = 5101578240. Its totient is φ = 908547840.

The previous prime is 2211271627. The next prime is 2211271691. The reversal of 2211271664 is 4661721122.

2211271664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2211271664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375527 + ... + 381369.

It is an arithmetic number, because the mean of its divisors is an integer number (63769728).

Almost surely, 2^2211271664 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 2211271664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550789120).

2211271664 is an abundant number, since it is smaller than the sum of its proper divisors (2890306576).

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

2211271664 is a wasteful number, since it uses less digits than its factorization.

2211271664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5998 (or 5992 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 2211271664 is about 47024.1604284436. The cubic root of 2211271664 is about 1302.8088505400.

Adding to 2211271664 its reverse (4661721122), we get a palindrome (6872992786).

The spelling of 2211271664 in words is "two billion, two hundred eleven million, two hundred seventy-one thousand, six hundred sixty-four".