204884699040 has 576 divisors, whose sum is σ = 873367971840. Its totient is φ = 42653122560.

The previous prime is 204884699017. The next prime is 204884699059. The reversal of 204884699040 is 40996488402.

It is a super-2 number, since 2×204884699040² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5292876 + ... + 5331444.

It is an arithmetic number, because the mean of its divisors is an integer number (1516263840).

Almost surely, 2^204884699040 is an apocalyptic number.

204884699040 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 204884699040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436683985920).

204884699040 is an abundant number, since it is smaller than the sum of its proper divisors (668483272800).

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

204884699040 is a wasteful number, since it uses less digits than its factorization.

204884699040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38645 (or 38634 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 204884699040 in words is "two hundred four billion, eight hundred eighty-four million, six hundred ninety-nine thousand, forty".