2279223105120 has 768 divisors, whose sum is σ = 9121714560000. Its totient is φ = 526560362496.

The previous prime is 2279223105119. The next prime is 2279223105149. The reversal of 2279223105120 is 215013229722.

2279223105120 is a `hidden beast` number, since 2 + 27 + 92 + 2 + 31 + 0 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 361835731 + ... + 361842029.

It is an arithmetic number, because the mean of its divisors is an integer number (11877232500).

Almost surely, 2^{2279223105120} is an apocalyptic number.

2279223105120 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 2279223105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560857280000).

2279223105120 is an abundant number, since it is smaller than the sum of its proper divisors (6842491454880).

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

2279223105120 is a wasteful number, since it uses less digits than its factorization.

2279223105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732 (or 6718 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 2279223105120 in words is "two trillion, two hundred seventy-nine billion, two hundred twenty-three million, one hundred five thousand, one hundred twenty".