201205767240 has 96 divisors (see below), whose sum is σ = 654657007680. Its totient is φ = 53594295936.

The previous prime is 201205767229. The next prime is 201205767263. The reversal of 201205767240 is 42767502102.

It is a happy number.

201205767240 is a `hidden beast` number, since 2 + 0 + 12 + 0 + 576 + 72 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 201205767195 and 201205767204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4267 + ... + 634373.

It is an arithmetic number, because the mean of its divisors is an integer number (6819343830).

Almost surely, 2^201205767240 is an apocalyptic number.

201205767240 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 201205767240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327328503840).

201205767240 is an abundant number, since it is smaller than the sum of its proper divisors (453451240440).

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

201205767240 is a wasteful number, since it uses less digits than its factorization.

201205767240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631011 (or 631004 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 201205767240 in words is "two hundred one billion, two hundred five million, seven hundred sixty-seven thousand, two hundred forty".