264240512240 has 40 divisors (see below), whose sum is σ = 617065661520. Its totient is φ = 105230575616.

The previous prime is 264240512233. The next prime is 264240512243. The reversal of 264240512240 is 42215042462.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 264240512197 and 264240512206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264240512243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7257185 + ... + 7293504.

It is an arithmetic number, because the mean of its divisors is an integer number (15426641538).

Almost surely, 2^264240512240 is an apocalyptic number.

264240512240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264240512240 is an abundant number, since it is smaller than the sum of its proper divisors (352825149280).

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

264240512240 is a wasteful number, since it uses less digits than its factorization.

264240512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14550929 (or 14550923 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 264240512240 in words is "two hundred sixty-four billion, two hundred forty million, five hundred twelve thousand, two hundred forty".