204945246240 has 768 divisors, whose sum is σ = 819688439808. Its totient is φ = 41938845696.

The previous prime is 204945246227. The next prime is 204945246251. The reversal of 204945246240 is 42642549402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 204945246192 and 204945246201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 337636017 + ... + 337636623.

It is an arithmetic number, because the mean of its divisors is an integer number (1067302656).

Almost surely, 2^204945246240 is an apocalyptic number.

204945246240 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 204945246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409844219904).

204945246240 is an abundant number, since it is smaller than the sum of its proper divisors (614743193568).

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

204945246240 is a wasteful number, since it uses less digits than its factorization.

204945246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 204945246240 in words is "two hundred four billion, nine hundred forty-five million, two hundred forty-six thousand, two hundred forty".