264234242160 has 240 divisors, whose sum is σ = 1015324390080. Its totient is φ = 60326830080.

The previous prime is 264234242159. The next prime is 264234242171. The reversal of 264234242160 is 61242432462.

264234242160 is a `hidden beast` number, since 2 + 642 + 3 + 4 + 2 + 4 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4410486 + ... + 4469994.

It is an arithmetic number, because the mean of its divisors is an integer number (4230518292).

Almost surely, 2^264234242160 is an apocalyptic number.

264234242160 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 264234242160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507662195040).

264234242160 is an abundant number, since it is smaller than the sum of its proper divisors (751090147920).

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

264234242160 is a wasteful number, since it uses less digits than its factorization.

264234242160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60416 (or 60407 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 264234242160 in words is "two hundred sixty-four billion, two hundred thirty-four million, two hundred forty-two thousand, one hundred sixty".