204242252520 has 128 divisors (see below), whose sum is σ = 619104487680. Its totient is φ = 53898240000.

The previous prime is 204242252507. The next prime is 204242252569. The reversal of 204242252520 is 25252242402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38672280 + ... + 38677560.

It is an arithmetic number, because the mean of its divisors is an integer number (4836753810).

Almost surely, 2^204242252520 is an apocalyptic number.

204242252520 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 204242252520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309552243840).

204242252520 is an abundant number, since it is smaller than the sum of its proper divisors (414862235160).

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

204242252520 is a wasteful number, since it uses less digits than its factorization.

204242252520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587 (or 8583 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 204242252520 its reverse (25252242402), we get a palindrome (229494494922).

The spelling of 204242252520 in words is "two hundred four billion, two hundred forty-two million, two hundred fifty-two thousand, five hundred twenty".