204605987040 has 1920 divisors, whose sum is σ = 978632202240. Its totient is φ = 39020838912.

The previous prime is 204605986903. The next prime is 204605987099. The reversal of 204605987040 is 40789506402.

It is a happy number.

204605987040 is a `hidden beast` number, since 20 + 460 + 59 + 87 + 0 + 40 = 666.

It is a super-2 number, since 2×204605987040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 515380122 + ... + 515380518.

It is an arithmetic number, because the mean of its divisors is an integer number (509704272).

Almost surely, 2^204605987040 is an apocalyptic number.

204605987040 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 204605987040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489316101120).

204605987040 is an abundant number, since it is smaller than the sum of its proper divisors (774026215200).

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

204605987040 is a wasteful number, since it uses less digits than its factorization.

204605987040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 204605987040 in words is "two hundred four billion, six hundred five million, nine hundred eighty-seven thousand, forty".