264122042240 has 768 divisors, whose sum is σ = 810157178880. Its totient is φ = 81761992704.

The previous prime is 264122042221. The next prime is 264122042251. The reversal of 264122042240 is 42240221462.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2079701057 + ... + 2079701183.

It is an arithmetic number, because the mean of its divisors is an integer number (1054892160).

Almost surely, 2^264122042240 is an apocalyptic number.

264122042240 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 264122042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405078589440).

264122042240 is an abundant number, since it is smaller than the sum of its proper divisors (546035136640).

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

264122042240 is a wasteful number, since it uses less digits than its factorization.

264122042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The spelling of 264122042240 in words is "two hundred sixty-four billion, one hundred twenty-two million, forty-two thousand, two hundred forty".