2200011120 has 240 divisors, whose sum is σ = 7641073440. Its totient is φ = 566839296.

The previous prime is 2200011113. The next prime is 2200011127. The reversal of 2200011120 is 211100022.

It is an interprime number because it is at equal distance from previous prime (2200011113) and next prime (2200011127).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200011127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7166007 + ... + 7166313.

It is an arithmetic number, because the mean of its divisors is an integer number (31837806).

Almost surely, 2^2200011120 is an apocalyptic number.

2200011120 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 2200011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820536720).

2200011120 is an abundant number, since it is smaller than the sum of its proper divisors (5441062320).

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

2200011120 is a wasteful number, since it uses less digits than its factorization.

2200011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2200011120 is about 46904.2761376828. The cubic root of 2200011120 is about 1300.5936381472.

Adding to 2200011120 its reverse (211100022), we get a palindrome (2411111142).

The spelling of 2200011120 in words is "two billion, two hundred million, eleven thousand, one hundred twenty".