201540240 has 120 divisors (see below), whose sum is σ = 738399168. Its totient is φ = 48856320.

The previous prime is 201540223. The next prime is 201540247. The reversal of 201540240 is 42045102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201540247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4804 + ... + 20643.

Almost surely, 2^201540240 is an apocalyptic number.

201540240 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 201540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369199584).

201540240 is an abundant number, since it is smaller than the sum of its proper divisors (536858928).

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

201540240 is a wasteful number, since it uses less digits than its factorization.

201540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25477 (or 25468 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 201540240 is about 14196.4868893681. The cubic root of 201540240 is about 586.3009399835.

Adding to 201540240 its reverse (42045102), we get a palindrome (243585342).

The spelling of 201540240 in words is "two hundred one million, five hundred forty thousand, two hundred forty".