204510240896 has 128 divisors (see below), whose sum is σ = 461617878960. Its totient is φ = 89597214720.

The previous prime is 204510240881. The next prime is 204510240901. The reversal of 204510240896 is 698042015402.

It can be written as a sum of positive squares in 8 ways, for example, as 117758785600 + 86751455296 = 343160^2 + 294536^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2483780 + ... + 2564796.

Almost surely, 2^204510240896 is an apocalyptic number.

204510240896 is a gapful number since it is divisible by the number (26) 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 204510240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230808939480).

204510240896 is an abundant number, since it is smaller than the sum of its proper divisors (257107638064).

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

204510240896 is a wasteful number, since it uses less digits than its factorization.

204510240896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81122 (or 81110 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 204510240896 in words is "two hundred four billion, five hundred ten million, two hundred forty thousand, eight hundred ninety-six".