2102217264 has 120 divisors (see below), whose sum is σ = 6748928160. Its totient is φ = 598385664.

The previous prime is 2102217253. The next prime is 2102217287. The reversal of 2102217264 is 4627122012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275452 + ... + 282980.

It is an arithmetic number, because the mean of its divisors is an integer number (56241068).

Almost surely, 2^2102217264 is an apocalyptic number.

2102217264 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 2102217264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374464080).

2102217264 is an abundant number, since it is smaller than the sum of its proper divisors (4646710896).

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

2102217264 is a wasteful number, since it uses less digits than its factorization.

2102217264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7827 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2102217264 is about 45849.9429007278. The cubic root of 2102217264 is about 1281.0297020282.

Adding to 2102217264 its reverse (4627122012), we get a palindrome (6729339276).

The spelling of 2102217264 in words is "two billion, one hundred two million, two hundred seventeen thousand, two hundred sixty-four".