2220011424 has 72 divisors (see below), whose sum is σ = 6432317892. Its totient is φ = 726036480.

The previous prime is 2220011407. The next prime is 2220011429. The reversal of 2220011424 is 4241100222.

It can be written as a sum of positive squares in 2 ways, for example, as 2091415824 + 128595600 = 45732^2 + 11340^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2220011397 and 2220011406.

It is not an unprimeable number, because it can be changed into a prime (2220011429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57457 + ... + 87984.

Almost surely, 2^2220011424 is an apocalyptic number.

2220011424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2220011424 is an abundant number, since it is smaller than the sum of its proper divisors (4212306468).

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

2220011424 is a wasteful number, since it uses less digits than its factorization.

2220011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145510 (or 145499 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2220011424 is about 47116.9971878514. The cubic root of 2220011424 is about 1304.5229876810.

Adding to 2220011424 its reverse (4241100222), we get a palindrome (6461111646).

The spelling of 2220011424 in words is "two billion, two hundred twenty million, eleven thousand, four hundred twenty-four".