209474242560 has 672 divisors, whose sum is σ = 822407826240. Its totient is φ = 50761728000.

The previous prime is 209474242529. The next prime is 209474242609. The reversal of 209474242560 is 65242474902.

209474242560 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 7 + 42 + 42 + 560 = 666.

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 55 ways as a sum of consecutive naturals, for example, 82113285 + ... + 82115835.

It is an arithmetic number, because the mean of its divisors is an integer number (1223821170).

Almost surely, 2^209474242560 is an apocalyptic number.

209474242560 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 209474242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411203913120).

209474242560 is an abundant number, since it is smaller than the sum of its proper divisors (612933583680).

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

209474242560 is an equidigital number, since it uses as much as digits as its factorization.

209474242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 209474242560 in words is "two hundred nine billion, four hundred seventy-four million, two hundred forty-two thousand, five hundred sixty".