2114223264 has 72 divisors (see below), whose sum is σ = 6038765460. Its totient is φ = 701641728.

The previous prime is 2114223263. The next prime is 2114223277. The reversal of 2114223264 is 4623224112.

2114223264 is a `hidden beast` number, since 211 + 422 + 3 + 26 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1379379600 + 734843664 = 37140^2 + 27108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2114223263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49924 + ... + 81980.

Almost surely, 2^2114223264 is an apocalyptic number.

2114223264 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 2114223264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019382730).

2114223264 is an abundant number, since it is smaller than the sum of its proper divisors (3924542196).

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

2114223264 is a wasteful number, since it uses less digits than its factorization.

2114223264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32302 (or 32291 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2114223264 is about 45980.6835964843. The cubic root of 2114223264 is about 1283.4637758603.

Adding to 2114223264 its reverse (4623224112), we get a palindrome (6737447376).

The spelling of 2114223264 in words is "two billion, one hundred fourteen million, two hundred twenty-three thousand, two hundred sixty-four".