2209249105920 has 480 divisors, whose sum is σ = 8384488912800. Its totient is φ = 554474668032.

The previous prime is 2209249105909. The next prime is 2209249105967. The reversal of 2209249105920 is 295019429022.

It is a happy number.

2209249105920 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 2 + 49 + 10 + 592 + 0 = 666.

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

It is a super-2 number, since 2×2209249105920² (a number of 25 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 14022141 + ... + 14178819.

It is an arithmetic number, because the mean of its divisors is an integer number (17467685235).

Almost surely, 2^{2209249105920} is an apocalyptic number.

2209249105920 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 2209249105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192244456400).

2209249105920 is an abundant number, since it is smaller than the sum of its proper divisors (6175239806880).

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

2209249105920 is a wasteful number, since it uses less digits than its factorization.

2209249105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156735 (or 156706 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 2209249105920 in words is "two trillion, two hundred nine billion, two hundred forty-nine million, one hundred five thousand, nine hundred twenty".