264240240 has 160 divisors (see below), whose sum is σ = 903370752. Its totient is φ = 63360000.

The previous prime is 264240209. The next prime is 264240241. The reversal of 264240240 is 42042462.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 264240240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264240241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266145 + ... + 267135.

Almost surely, 2^264240240 is an apocalyptic number.

264240240 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 264240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451685376).

264240240 is an abundant number, since it is smaller than the sum of its proper divisors (639130512).

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

264240240 is a wasteful number, since it uses less digits than its factorization.

264240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 264240240 is about 16255.4680031059. The cubic root of 264240240 is about 641.7013974192.

The spelling of 264240240 in words is "two hundred sixty-four million, two hundred forty thousand, two hundred forty".