204242220000 has 1440 divisors, whose sum is σ = 920138611392. Its totient is φ = 41803776000.

The previous prime is 204242219977. The next prime is 204242220023. The reversal of 204242220000 is 22242402.

204242220000 is a `hidden beast` number, since 2 + 0 + 42 + 422 + 200 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (204242219977) and next prime (204242220023).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 606059832 + ... + 606060168.

Almost surely, 2^204242220000 is an apocalyptic number.

204242220000 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 204242220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460069305696).

204242220000 is an abundant number, since it is smaller than the sum of its proper divisors (715896391392).

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

204242220000 is a wasteful number, since it uses less digits than its factorization.

204242220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 204242220000 its reverse (22242402), we get a palindrome (204264462402).

The spelling of 204242220000 in words is "two hundred four billion, two hundred forty-two million, two hundred twenty thousand".