204074697024 has 588 divisors, whose sum is σ = 686116676532. Its totient is φ = 60107857920.

The previous prime is 204074697023. The next prime is 204074697097. The reversal of 204074697024 is 420796470402.

It can be written as a sum of positive squares in 2 ways, for example, as 186997434624 + 17077262400 = 432432^2 + 130680^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204074697023) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 208878424 + ... + 208879400.

Almost surely, 2^204074697024 is an apocalyptic number.

204074697024 is a gapful number since it is divisible by the number (24) 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 204074697024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343058338266).

204074697024 is an abundant number, since it is smaller than the sum of its proper divisors (482041979508).

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

204074697024 is an equidigital number, since it uses as much as digits as its factorization.

204074697024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 204074697024 in words is "two hundred four billion, seventy-four million, six hundred ninety-seven thousand, twenty-four".