262660240 has 80 divisors (see below), whose sum is σ = 625781376. Its totient is φ = 102502400.

The previous prime is 262660231. The next prime is 262660247. The reversal of 262660240 is 42066262.

262660240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 262660199 and 262660208.

It is not an unprimeable number, because it can be changed into a prime (262660247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743904 + ... + 744256.

Almost surely, 2^262660240 is an apocalyptic number.

262660240 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 262660240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312890688).

262660240 is an abundant number, since it is smaller than the sum of its proper divisors (363121136).

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

262660240 is a wasteful number, since it uses less digits than its factorization.

262660240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 262660240 is about 16206.7961053380. The cubic root of 262660240 is about 640.4198417100.

The spelling of 262660240 in words is "two hundred sixty-two million, six hundred sixty thousand, two hundred forty".