2220013004040 has 192 divisors, whose sum is σ = 7792062773040. Its totient is φ = 544916275200.

The previous prime is 2220013004023. The next prime is 2220013004047. The reversal of 2220013004040 is 404003100222.

It can be written as a sum of positive squares in 8 ways, for example, as 715705848036 + 1504307156004 = 845994^2 + 1226502^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2220013004047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 980140 + ... + 2323940.

Almost surely, 2^{2220013004040} is an apocalyptic number.

2220013004040 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 2220013004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896031386520).

2220013004040 is an abundant number, since it is smaller than the sum of its proper divisors (5572049769000).

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

2220013004040 is a wasteful number, since it uses less digits than its factorization.

2220013004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344184 (or 1344177 counting only the distinct ones).

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

Adding to 2220013004040 its reverse (404003100222), we get a palindrome (2624016104262).

The spelling of 2220013004040 in words is "two trillion, two hundred twenty billion, thirteen million, four thousand, forty".