201240240 has 80 divisors (see below), whose sum is σ = 625459968. Its totient is φ = 53525248.

The previous prime is 201240239. The next prime is 201240257. The reversal of 201240240 is 42042102.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119887 + ... + 121553.

Almost surely, 2^201240240 is an apocalyptic number.

201240240 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 201240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312729984).

201240240 is an abundant number, since it is smaller than the sum of its proper divisors (424219728).

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

201240240 is a wasteful number, since it uses less digits than its factorization.

201240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 201240240 is about 14185.9169601404. The cubic root of 201240240 is about 586.0098854075.

Adding to 201240240 its reverse (42042102), we get a palindrome (243282342).

The spelling of 201240240 in words is "two hundred one million, two hundred forty thousand, two hundred forty".