264002200 has 288 divisors, whose sum is σ = 814233600. Its totient is φ = 78624000.

The previous prime is 264002171. The next prime is 264002201. The reversal of 264002200 is 2200462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264002201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3341761 + ... + 3341839.

It is an arithmetic number, because the mean of its divisors is an integer number (2827200).

Almost surely, 2^264002200 is an apocalyptic number.

264002200 is a gapful number since it is divisible by the number (20) 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 264002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407116800).

264002200 is an abundant number, since it is smaller than the sum of its proper divisors (550231400).

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

264002200 is a wasteful number, since it uses less digits than its factorization.

264002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 264002200 is about 16248.1445094509. The cubic root of 264002200 is about 641.5086479577.

Adding to 264002200 its reverse (2200462), we get a palindrome (266202662).

The spelling of 264002200 in words is "two hundred sixty-four million, two thousand, two hundred".