2220511441440 has 48 divisors (see below), whose sum is σ = 6994611042048. Its totient is φ = 592136384256.

The previous prime is 2220511441439. The next prime is 2220511441441. The reversal of 2220511441440 is 441441150222.

It is an interprime number because it is at equal distance from previous prime (2220511441439) and next prime (2220511441441).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2220511441398 and 2220511441407.

It is not an unprimeable number, because it can be changed into a prime (2220511441441) 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 7 ways as a sum of consecutive naturals, for example, 2313032272 + ... + 2313033231.

It is an arithmetic number, because the mean of its divisors is an integer number (145721063376).

Almost surely, 2^{2220511441440} is an apocalyptic number.

2220511441440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220511441440 is an abundant number, since it is smaller than the sum of its proper divisors (4774099600608).

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

2220511441440 is a wasteful number, since it uses less digits than its factorization.

2220511441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626065521 (or 4626065513 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 2220511441440 its reverse (441441150222), we get a palindrome (2661952591662).

The spelling of 2220511441440 in words is "two trillion, two hundred twenty billion, five hundred eleven million, four hundred forty-one thousand, four hundred forty".