202440202000 has 80 divisors (see below), whose sum is σ = 490184697600. Its totient is φ = 80862883200.

The previous prime is 202440201991. The next prime is 202440202039. The reversal of 202440202000 is 202044202.

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 (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1367611 + ... + 1508389.

It is an arithmetic number, because the mean of its divisors is an integer number (6127308720).

Almost surely, 2^202440202000 is an apocalyptic number.

202440202000 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 202440202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245092348800).

202440202000 is an abundant number, since it is smaller than the sum of its proper divisors (287744495600).

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

202440202000 is a wasteful number, since it uses less digits than its factorization.

202440202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141521 (or 141505 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 202440202000 its reverse (202044202), we get a palindrome (202642246202).

The spelling of 202440202000 in words is "two hundred two billion, four hundred forty million, two hundred two thousand".