264214843024 has 120 divisors (see below), whose sum is σ = 596290194360. Its totient is φ = 113127168000.

The previous prime is 264214842977. The next prime is 264214843037. The reversal of 264214843024 is 420348412462.

It can be written as a sum of positive squares in 4 ways, for example, as 15780384400 + 248434458624 = 125620^2 + 498432^2 .

It is a super-2 number, since 2×264214843024² (a number of 24 digits) contains 22 as substring.

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, 2244514 + ... + 2359294.

It is an arithmetic number, because the mean of its divisors is an integer number (4969084953).

Almost surely, 2^264214843024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264214843024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298145097180).

264214843024 is an abundant number, since it is smaller than the sum of its proper divisors (332075351336).

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

264214843024 is a wasteful number, since it uses less digits than its factorization.

264214843024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114881 (or 114864 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 264214843024 in words is "two hundred sixty-four billion, two hundred fourteen million, eight hundred forty-three thousand, twenty-four".