2209874286240 has 576 divisors, whose sum is σ = 8086281840000. Its totient is φ = 547955933184.

The previous prime is 2209874286233. The next prime is 2209874286247. The reversal of 2209874286240 is 426824789022.

2209874286240 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 8 + 7 + 4 + 2 + 8 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2209874286233) and next prime (2209874286247).

It is not an unprimeable number, because it can be changed into a prime (2209874286247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338467296 + ... + 338473824.

It is an arithmetic number, because the mean of its divisors is an integer number (14038683750).

Almost surely, 2^{2209874286240} is an apocalyptic number.

2209874286240 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 2209874286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043140920000).

2209874286240 is an abundant number, since it is smaller than the sum of its proper divisors (5876407553760).

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

2209874286240 is a wasteful number, since it uses less digits than its factorization.

2209874286240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6797 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2209874286240 in words is "two trillion, two hundred nine billion, eight hundred seventy-four million, two hundred eighty-six thousand, two hundred forty".