202538730240 has 432 divisors, whose sum is σ = 873682258176. Its totient is φ = 42085785600.

The previous prime is 202538730223. The next prime is 202538730253. The reversal of 202538730240 is 42037835202.

202538730240 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 387 + 30 + 240 = 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 = 202538730195 and 202538730204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772875 + ... + 1001205.

Almost surely, 2^202538730240 is an apocalyptic number.

202538730240 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 202538730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436841129088).

202538730240 is an abundant number, since it is smaller than the sum of its proper divisors (671143527936).

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

202538730240 is a wasteful number, since it uses less digits than its factorization.

202538730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228376 (or 228359 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 202538730240 in words is "two hundred two billion, five hundred thirty-eight million, seven hundred thirty thousand, two hundred forty".