2220230040340 has 108 divisors (see below), whose sum is σ = 5064170848884. Its totient is φ = 817276741632.

The previous prime is 2220230040337. The next prime is 2220230040341. The reversal of 2220230040340 is 430400320222.

It can be written as a sum of positive squares in 18 ways, for example, as 965117619216 + 1255112421124 = 982404^2 + 1120318^2 .

It is a super-3 number, since 3×2220230040340³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220230040341) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 411684684 + ... + 411690076.

It is an arithmetic number, because the mean of its divisors is an integer number (46890470823).

Almost surely, 2^{2220230040340} is an apocalyptic number.

2220230040340 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 2220230040340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532085424442).

2220230040340 is an abundant number, since it is smaller than the sum of its proper divisors (2843940808544).

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

2220230040340 is a wasteful number, since it uses less digits than its factorization.

2220230040340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 2220230040340 its reverse (430400320222), we get a palindrome (2650630360562).

The spelling of 2220230040340 in words is "two trillion, two hundred twenty billion, two hundred thirty million, forty thousand, three hundred forty".