2220022022400 has 1296 divisors, whose sum is σ = 10033609307904. Its totient is φ = 455700971520.

The previous prime is 2220022022303. The next prime is 2220022022423. The reversal of 2220022022400 is 42202200222.

It is a happy number.

2220022022400 is a `hidden beast` number, since 2 + 2 + 20 + 0 + 220 + 22 + 400 = 666.

It is a super-2 number, since 2×2220022022400² (a number of 25 digits) contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 193933477 + ... + 193944923.

Almost surely, 2^{2220022022400} is an apocalyptic number.

2220022022400 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 2220022022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016804653952).

2220022022400 is an abundant number, since it is smaller than the sum of its proper divisors (7813587285504).

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

2220022022400 is a wasteful number, since it uses less digits than its factorization.

2220022022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11536 (or 11514 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2220022022400 its reverse (42202200222), we get a palindrome (2262224222622).

The spelling of 2220022022400 in words is "two trillion, two hundred twenty billion, twenty-two million, twenty-two thousand, four hundred".