2220084217512 has 192 divisors, whose sum is σ = 7041973985280. Its totient is φ = 618775065216.

The previous prime is 2220084217511. The next prime is 2220084217553. The reversal of 2220084217512 is 2157124800222.

It is a happy number.

2220084217512 is a `hidden beast` number, since 2 + 220 + 0 + 8 + 421 + 7 + 5 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2220084217511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3158953 + ... + 3797255.

It is an arithmetic number, because the mean of its divisors is an integer number (36676947840).

Almost surely, 2^{2220084217512} 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 2220084217512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520986992640).

2220084217512 is an abundant number, since it is smaller than the sum of its proper divisors (4821889767768).

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

2220084217512 is a wasteful number, since it uses less digits than its factorization.

2220084217512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638492 (or 638485 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 2220084217512 in words is "two trillion, two hundred twenty billion, eighty-four million, two hundred seventeen thousand, five hundred twelve".