202000240 has 80 divisors (see below), whose sum is σ = 517654368. Its totient is φ = 72834048.

The previous prime is 202000193. The next prime is 202000259. The reversal of 202000240 is 42000202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42462 + ... + 46978.

Almost surely, 2^202000240 is an apocalyptic number.

202000240 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 202000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258827184).

202000240 is an abundant number, since it is smaller than the sum of its proper divisors (315654128).

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

202000240 is a wasteful number, since it uses less digits than its factorization.

202000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4580 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 202000240 is about 14212.6788467199. The cubic root of 202000240 is about 586.7466632190.

Adding to 202000240 its reverse (42000202), we get a palindrome (244000442).

The spelling of 202000240 in words is "two hundred two million, two hundred forty", and thus it is an aban number.