201982020240 has 1280 divisors, whose sum is σ = 892486877184. Its totient is φ = 36429004800.

The previous prime is 201982020137. The next prime is 201982020257. The reversal of 201982020240 is 42020289102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 201982020198 and 201982020207.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 275554914 + ... + 275555646.

Almost surely, 2^201982020240 is an apocalyptic number.

201982020240 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 201982020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446243438592).

201982020240 is an abundant number, since it is smaller than the sum of its proper divisors (690504856944).

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

201982020240 is a wasteful number, since it uses less digits than its factorization.

201982020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 201982020240 in words is "two hundred one billion, nine hundred eighty-two million, twenty thousand, two hundred forty".