204542919000 has 768 divisors, whose sum is σ = 829183979520. Its totient is φ = 44497382400.

The previous prime is 204542918989. The next prime is 204542919019. The reversal of 204542919000 is 919245402.

204542919000 is a `hidden beast` number, since 2 + 0 + 45 + 429 + 190 + 0 + 0 = 666.

It is a super-2 number, since 2×204542919000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109556067 + ... + 109557933.

It is an arithmetic number, because the mean of its divisors is an integer number (1079666640).

Almost surely, 2^204542919000 is an apocalyptic number.

204542919000 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 204542919000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414591989760).

204542919000 is an abundant number, since it is smaller than the sum of its proper divisors (624641060520).

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

204542919000 is a wasteful number, since it uses less digits than its factorization.

204542919000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 204542919000 in words is "two hundred four billion, five hundred forty-two million, nine hundred nineteen thousand".