2211022400 has 168 divisors, whose sum is σ = 5769437280. Its totient is φ = 831651840.

The previous prime is 2211022399. The next prime is 2211022421. The reversal of 2211022400 is 42201122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7812659 + ... + 7812941.

Almost surely, 2^2211022400 is an apocalyptic number.

2211022400 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 2211022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884718640).

2211022400 is an abundant number, since it is smaller than the sum of its proper divisors (3558414880).

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

2211022400 is a wasteful number, since it uses less digits than its factorization.

2211022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2211022400 is about 47021.5099715013. The cubic root of 2211022400 is about 1302.7598959718.

Adding to 2211022400 its reverse (42201122), we get a palindrome (2253223522).

The spelling of 2211022400 in words is "two billion, two hundred eleven million, twenty-two thousand, four hundred".