201835828740 has 192 divisors, whose sum is σ = 698625736704. Its totient is φ = 42397281792.

The previous prime is 201835828709. The next prime is 201835828741. The reversal of 201835828740 is 47828538102.

201835828740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 201835828740.

It is not an unprimeable number, because it can be changed into a prime (201835828741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1157997 + ... + 1320843.

It is an arithmetic number, because the mean of its divisors is an integer number (3638675712).

Almost surely, 2^201835828740 is an apocalyptic number.

201835828740 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 201835828740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349312868352).

201835828740 is an abundant number, since it is smaller than the sum of its proper divisors (496789907964).

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

201835828740 is a wasteful number, since it uses less digits than its factorization.

201835828740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163106 (or 163104 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 201835828740 in words is "two hundred one billion, eight hundred thirty-five million, eight hundred twenty-eight thousand, seven hundred forty".