2001022222400 has 168 divisors, whose sum is σ = 4940194718016. Its totient is φ = 797742950400.

The previous prime is 2001022222391. The next prime is 2001022222411. The reversal of 2001022222400 is 42222201002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 995037395 + ... + 995039405.

Almost surely, 2^{2001022222400} is an apocalyptic number.

2001022222400 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 2001022222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470097359008).

2001022222400 is an abundant number, since it is smaller than the sum of its proper divisors (2939172495616).

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

2001022222400 is a wasteful number, since it uses less digits than its factorization.

2001022222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 2001022222400 its reverse (42222201002), we get a palindrome (2043244423402).

The spelling of 2001022222400 in words is "two trillion, one billion, twenty-two million, two hundred twenty-two thousand, four hundred".