201210240 has 256 divisors, whose sum is σ = 800202240. Its totient is φ = 41779200.

The previous prime is 201210239. The next prime is 201210241. The reversal of 201210240 is 42012102.

It is an interprime number because it is at equal distance from previous prime (201210239) and next prime (201210241).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201210241) 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, 147160 + ... + 148520.

It is an arithmetic number, because the mean of its divisors is an integer number (3125790).

Almost surely, 2^201210240 is an apocalyptic number.

201210240 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 201210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400101120).

201210240 is an abundant number, since it is smaller than the sum of its proper divisors (598992000).

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

201210240 is a wasteful number, since it uses less digits than its factorization.

201210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 201210240 is about 14184.8595340243. The cubic root of 201210240 is about 585.9807640445.

Adding to 201210240 its reverse (42012102), we get a palindrome (243222342).

The spelling of 201210240 in words is "two hundred one million, two hundred ten thousand, two hundred forty".