2220222021984 has 288 divisors, whose sum is σ = 6476101632000. Its totient is φ = 721315445760.

The previous prime is 2220222021977. The next prime is 2220222022061. The reversal of 2220222021984 is 4891202220222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1335069537 + ... + 1335071199.

It is an arithmetic number, because the mean of its divisors is an integer number (22486464000).

Almost surely, 2^{2220222021984} is an apocalyptic number.

2220222021984 is a gapful number since it is divisible by the number (24) 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 2220222021984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238050816000).

2220222021984 is an abundant number, since it is smaller than the sum of its proper divisors (4255879610016).

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

2220222021984 is a wasteful number, since it uses less digits than its factorization.

2220222021984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2220222021984 in words is "two trillion, two hundred twenty billion, two hundred twenty-two million, twenty-one thousand, nine hundred eighty-four".