2211338400 has 144 divisors (see below), whose sum is σ = 7216975584. Its totient is φ = 588129280.

The previous prime is 2211338399. The next prime is 2211338413. The reversal of 2211338400 is 48331122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1119814 + ... + 1121786.

It is an arithmetic number, because the mean of its divisors is an integer number (50117886).

Almost surely, 2^2211338400 is an apocalyptic number.

2211338400 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 2211338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608487792).

2211338400 is an abundant number, since it is smaller than the sum of its proper divisors (5005637184).

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

2211338400 is a wasteful number, since it uses less digits than its factorization.

2211338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2211338400 is about 47024.8700157693. The cubic root of 2211338400 is about 1302.8219566301.

Adding to 2211338400 its reverse (48331122), we get a palindrome (2259669522).

The spelling of 2211338400 in words is "two billion, two hundred eleven million, three hundred thirty-eight thousand, four hundred".