2212668864 has 336 divisors, whose sum is σ = 8083296000. Its totient is φ = 563355648.

The previous prime is 2212668841. The next prime is 2212668869. The reversal of 2212668864 is 4688662122.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212668869) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1301487 + ... + 1303185.

Almost surely, 2^2212668864 is an apocalyptic number.

2212668864 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 2212668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041648000).

2212668864 is an abundant number, since it is smaller than the sum of its proper divisors (5870627136).

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

2212668864 is a wasteful number, since it uses less digits than its factorization.

2212668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1747 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 2212668864 is about 47039.0142753863. The cubic root of 2212668864 is about 1303.0831875962.

The spelling of 2212668864 in words is "two billion, two hundred twelve million, six hundred sixty-eight thousand, eight hundred sixty-four".