2211401720 has 64 divisors (see below), whose sum is σ = 5456319840. Its totient is φ = 799948800.

The previous prime is 2211401719. The next prime is 2211401729. The reversal of 2211401720 is 271041122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2211401692 and 2211401701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211401729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71900 + ... + 97940.

Almost surely, 2^2211401720 is an apocalyptic number.

2211401720 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 2211401720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728159920).

2211401720 is an abundant number, since it is smaller than the sum of its proper divisors (3244918120).

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

2211401720 is a wasteful number, since it uses less digits than its factorization.

2211401720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26256 (or 26252 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 2211401720 is about 47025.5432717156. The cubic root of 2211401720 is about 1302.8343916180.

Adding to 2211401720 its reverse (271041122), we get a palindrome (2482442842).

The spelling of 2211401720 in words is "two billion, two hundred eleven million, four hundred one thousand, seven hundred twenty".