2117220864 has 240 divisors, whose sum is σ = 6415437600. Its totient is φ = 615301120.

The previous prime is 2117220793. The next prime is 2117220907. The reversal of 2117220864 is 4680227112.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14209462 + ... + 14209610.

It is an arithmetic number, because the mean of its divisors is an integer number (26730990).

Almost surely, 2^2117220864 is an apocalyptic number.

2117220864 is a gapful number since it is divisible by the number (24) 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 2117220864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207718800).

2117220864 is an abundant number, since it is smaller than the sum of its proper divisors (4298216736).

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

2117220864 is a wasteful number, since it uses less digits than its factorization.

2117220864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2117220864 is about 46013.2683472930. The cubic root of 2117220864 is about 1284.0700653724.

Adding to 2117220864 its reverse (4680227112), we get a palindrome (6797447976).

The spelling of 2117220864 in words is "two billion, one hundred seventeen million, two hundred twenty thousand, eight hundred sixty-four".