209984970240 has 480 divisors, whose sum is σ = 772659984096. Its totient is φ = 54623600640.

The previous prime is 209984970191. The next prime is 209984970269. The reversal of 209984970240 is 42079489902.

209984970240 is a `hidden beast` number, since 20 + 9 + 98 + 497 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25501164 + ... + 25509396.

Almost surely, 2^209984970240 is an apocalyptic number.

209984970240 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 209984970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386329992048).

209984970240 is an abundant number, since it is smaller than the sum of its proper divisors (562675013856).

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

209984970240 is an frugal number, since it uses more digits than its factorization.

209984970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 209984970240 in words is "two hundred nine billion, nine hundred eighty-four million, nine hundred seventy thousand, two hundred forty".