264040231000 has 256 divisors, whose sum is σ = 761885429760. Its totient is φ = 83405145600.

The previous prime is 264040230991. The next prime is 264040231001. The reversal of 264040231000 is 132040462.

It is a happy number.

It is a super-2 number, since 2×264040231000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264040231001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 53414529 + ... + 53419471.

It is an arithmetic number, because the mean of its divisors is an integer number (2976114960).

Almost surely, 2^264040231000 is an apocalyptic number.

264040231000 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 264040231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380942714880).

264040231000 is an abundant number, since it is smaller than the sum of its proper divisors (497845198760).

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

264040231000 is a wasteful number, since it uses less digits than its factorization.

264040231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571 (or 5557 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 264040231000 its reverse (132040462), we get a palindrome (264172271462).

The spelling of 264040231000 in words is "two hundred sixty-four billion, forty million, two hundred thirty-one thousand".