201030258240 has 1120 divisors, whose sum is σ = 854265544704. Its totient is φ = 43908894720.

The previous prime is 201030258217. The next prime is 201030258257. The reversal of 201030258240 is 42852030102.

201030258240 is a `hidden beast` number, since 2 + 0 + 10 + 30 + 2 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 579337747 + ... + 579338093.

Almost surely, 2^201030258240 is an apocalyptic number.

201030258240 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 201030258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427132772352).

201030258240 is an abundant number, since it is smaller than the sum of its proper divisors (653235286464).

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

201030258240 is a wasteful number, since it uses less digits than its factorization.

201030258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 201030258240 its reverse (42852030102), we get a palindrome (243882288342).

The spelling of 201030258240 in words is "two hundred one billion, thirty million, two hundred fifty-eight thousand, two hundred forty".