204202400240 has 80 divisors (see below), whose sum is σ = 485005207680. Its totient is φ = 79921121280.

The previous prime is 204202400209. The next prime is 204202400251. The reversal of 204202400240 is 42004202402.

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 (20).

It is a congruent number.

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, 23792750 + ... + 23801330.

It is an arithmetic number, because the mean of its divisors is an integer number (6062565096).

Almost surely, 2^204202400240 is an apocalyptic number.

204202400240 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 204202400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242502603840).

204202400240 is an abundant number, since it is smaller than the sum of its proper divisors (280802807440).

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

204202400240 is a wasteful number, since it uses less digits than its factorization.

204202400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14970 (or 14964 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 204202400240 its reverse (42004202402), we get a palindrome (246206602642).

The spelling of 204202400240 in words is "two hundred four billion, two hundred two million, four hundred thousand, two hundred forty".