264035205252 has 240 divisors, whose sum is σ = 860287464960. Its totient is φ = 68753587968.

The previous prime is 264035205223. The next prime is 264035205257. The reversal of 264035205252 is 252502530462.

264035205252 is a `hidden beast` number, since 2 + 640 + 3 + 5 + 2 + 0 + 5 + 2 + 5 + 2 = 666.

It is a super-2 number, since 2×264035205252² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (264035205257) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2272558 + ... + 2385914.

It is an arithmetic number, because the mean of its divisors is an integer number (3584531104).

Almost surely, 2^264035205252 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 264035205252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430143732480).

264035205252 is an abundant number, since it is smaller than the sum of its proper divisors (596252259708).

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

264035205252 is a wasteful number, since it uses less digits than its factorization.

264035205252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113472 (or 113461 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 264035205252 in words is "two hundred sixty-four billion, thirty-five million, two hundred five thousand, two hundred fifty-two".