2232252663264 has 288 divisors, whose sum is σ = 7241841210240. Its totient is φ = 646137593856.

The previous prime is 2232252663259. The next prime is 2232252663307. The reversal of 2232252663264 is 4623662522322.

2232252663264 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 2 + 5 + 2 + 6 + 632 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×2232252663264³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157649017 + ... + 157663175.

It is an arithmetic number, because the mean of its divisors is an integer number (25145281980).

Almost surely, 2^{2232252663264} is an apocalyptic number.

2232252663264 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 2232252663264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620920605120).

2232252663264 is an abundant number, since it is smaller than the sum of its proper divisors (5009588546976).

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

2232252663264 is a wasteful number, since it uses less digits than its factorization.

2232252663264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16682 (or 16671 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 45.

The spelling of 2232252663264 in words is "two trillion, two hundred thirty-two billion, two hundred fifty-two million, six hundred sixty-three thousand, two hundred sixty-four".