204874214220 has 384 divisors, whose sum is σ = 745866240000. Its totient is φ = 46234229760.

The previous prime is 204874214219. The next prime is 204874214261. The reversal of 204874214220 is 22412478402.

204874214220 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 7 + 421 + 4 + 220 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4110006 + ... + 4159554.

It is an arithmetic number, because the mean of its divisors is an integer number (1942360000).

Almost surely, 2^204874214220 is an apocalyptic number.

204874214220 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 204874214220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372933120000).

204874214220 is an abundant number, since it is smaller than the sum of its proper divisors (540992025780).

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

204874214220 is a wasteful number, since it uses less digits than its factorization.

204874214220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49630 (or 49622 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 204874214220 in words is "two hundred four billion, eight hundred seventy-four million, two hundred fourteen thousand, two hundred twenty".