2210146847712 has 240 divisors, whose sum is σ = 6565459380480. Its totient is φ = 729304273152.

The previous prime is 2210146847639. The next prime is 2210146847747. The reversal of 2210146847712 is 2177486410122.

2210146847712 is a `hidden beast` number, since 2 + 2 + 101 + 4 + 68 + 477 + 12 = 666.

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, 648705913 + ... + 648709319.

It is an arithmetic number, because the mean of its divisors is an integer number (27356080752).

Almost surely, 2^{2210146847712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210146847712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282729690240).

2210146847712 is an abundant number, since it is smaller than the sum of its proper divisors (4355312532768).

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

2210146847712 is a wasteful number, since it uses less digits than its factorization.

2210146847712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 2210146847712 in words is "two trillion, two hundred ten billion, one hundred forty-six million, eight hundred forty-seven thousand, seven hundred twelve".