2220585984 has 132 divisors (see below), whose sum is σ = 6491380896. Its totient is φ = 731025408.

The previous prime is 2220585979. The next prime is 2220586013. The reversal of 2220585984 is 4895850222.

2220585984 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 58 + 598 + 4 = 666.

It is a super-2 number, since 2×2220585984² = 9862004224674496512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 763477 + ... + 766379.

It is an arithmetic number, because the mean of its divisors is an integer number (49177128).

Almost surely, 2^2220585984 is an apocalyptic number.

2220585984 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 2220585984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245690448).

2220585984 is an abundant number, since it is smaller than the sum of its proper divisors (4270794912).

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

2220585984 is a wasteful number, since it uses less digits than its factorization.

2220585984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2220585984 is about 47123.0939561485. The cubic root of 2220585984 is about 1304.6355189451.

The spelling of 2220585984 in words is "two billion, two hundred twenty million, five hundred eighty-five thousand, nine hundred eighty-four".