2220301440 has 384 divisors, whose sum is σ = 8936179200. Its totient is φ = 497442816.

The previous prime is 2220301427. The next prime is 2220301459. The reversal of 2220301440 is 441030222.

2220301440 is a `hidden beast` number, since 2 + 220 + 3 + 0 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 2136441 + ... + 2137479.

It is an arithmetic number, because the mean of its divisors is an integer number (23271300).

Almost surely, 2^2220301440 is an apocalyptic number.

2220301440 is a gapful number since it is divisible by the number (20) 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 2220301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468089600).

2220301440 is an abundant number, since it is smaller than the sum of its proper divisors (6715877760).

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

2220301440 is a wasteful number, since it uses less digits than its factorization.

2220301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2220301440 is about 47120.0747028270. The cubic root of 2220301440 is about 1304.5797916027.

Adding to 2220301440 its reverse (441030222), we get a palindrome (2661331662).

The spelling of 2220301440 in words is "two billion, two hundred twenty million, three hundred one thousand, four hundred forty".