2111322400 has 144 divisors (see below), whose sum is σ = 5695885440. Its totient is φ = 757785600.

The previous prime is 2111322371. The next prime is 2111322419. The reversal of 2111322400 is 42231112.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 693682 + ... + 696718.

It is an arithmetic number, because the mean of its divisors is an integer number (39554760).

Almost surely, 2^2111322400 is an apocalyptic number.

2111322400 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 2111322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847942720).

2111322400 is an abundant number, since it is smaller than the sum of its proper divisors (3584563040).

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

2111322400 is a wasteful number, since it uses less digits than its factorization.

2111322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2111322400 is about 45949.1283921687. The cubic root of 2111322400 is about 1282.8765061310.

Adding to 2111322400 its reverse (42231112), we get a palindrome (2153553512).

The spelling of 2111322400 in words is "two billion, one hundred eleven million, three hundred twenty-two thousand, four hundred".