2220004014000 has 160 divisors (see below), whose sum is σ = 7163898433536. Its totient is φ = 591454713600.

The previous prime is 2220004013939. The next prime is 2220004014001. The reversal of 2220004014000 is 4104000222.

It is a super-2 number, since 2×2220004014000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2220004014001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6351807 + ... + 6692193.

Almost surely, 2^{2220004014000} is an apocalyptic number.

2220004014000 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 2220004014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581949216768).

2220004014000 is an abundant number, since it is smaller than the sum of its proper divisors (4943894419536).

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

2220004014000 is a wasteful number, since it uses less digits than its factorization.

2220004014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341500 (or 341484 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 2220004014000 its reverse (4104000222), we get a palindrome (2224108014222).

The spelling of 2220004014000 in words is "two trillion, two hundred twenty billion, four million, fourteen thousand".