264088000224 has 72 divisors (see below), whose sum is σ = 751096349640. Its totient is φ = 88018069248.

The previous prime is 264088000171. The next prime is 264088000289. The reversal of 264088000224 is 422000880462.

It is a happy number.

264088000224 is a `hidden beast` number, since 2 + 640 + 8 + 8 + 0 + 0 + 0 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×264088000224² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2370214 + ... + 2479130.

It is an arithmetic number, because the mean of its divisors is an integer number (10431893745).

Almost surely, 2^264088000224 is an apocalyptic number.

264088000224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

264088000224 is an abundant number, since it is smaller than the sum of its proper divisors (487008349416).

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

264088000224 is a wasteful number, since it uses less digits than its factorization.

264088000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117352 (or 117341 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 264088000224 its reverse (422000880462), we get a palindrome (686088880686).

The spelling of 264088000224 in words is "two hundred sixty-four billion, eighty-eight million, two hundred twenty-four", and thus it is an aban number.