2220305040 has 160 divisors (see below), whose sum is σ = 8050377600. Its totient is φ = 560908800.

The previous prime is 2220304993. The next prime is 2220305093. The reversal of 2220305040 is 405030222.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13990 + ... + 68090.

It is an arithmetic number, because the mean of its divisors is an integer number (50314860).

Almost surely, 2^2220305040 is an apocalyptic number.

2220305040 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 2220305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025188800).

2220305040 is an abundant number, since it is smaller than the sum of its proper divisors (5830072560).

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

2220305040 is a wasteful number, since it uses less digits than its factorization.

2220305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54142 (or 54130 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2220305040 is about 47120.1129030905. The cubic root of 2220305040 is about 1304.5804966849.

Adding to 2220305040 its reverse (405030222), we get a palindrome (2625335262).

The spelling of 2220305040 in words is "two billion, two hundred twenty million, three hundred five thousand, forty".