209982224340 has 384 divisors, whose sum is σ = 780237373440. Its totient is φ = 46445581440.

The previous prime is 209982224297. The next prime is 209982224351. The reversal of 209982224340 is 43422289902.

209982224340 is a `hidden beast` number, since 2 + 0 + 9 + 9 + 82 + 224 + 340 = 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 127 ways as a sum of consecutive naturals, for example, 9480519 + ... + 9502641.

It is an arithmetic number, because the mean of its divisors is an integer number (2031868160).

Almost surely, 2^209982224340 is an apocalyptic number.

209982224340 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 209982224340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390118686720).

209982224340 is an abundant number, since it is smaller than the sum of its proper divisors (570255149100).

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

209982224340 is a wasteful number, since it uses less digits than its factorization.

209982224340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22191 (or 22171 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 209982224340 in words is "two hundred nine billion, nine hundred eighty-two million, two hundred twenty-four thousand, three hundred forty".