2221611120 has 240 divisors, whose sum is σ = 7800661440. Its totient is φ = 565899264.

The previous prime is 2221611103. The next prime is 2221611131. The reversal of 2221611120 is 211161222.

2221611120 is a `hidden beast` number, since 22 + 21 + 611 + 12 + 0 = 666.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 2221611093 and 2221611102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2150124 + ... + 2151156.

It is an arithmetic number, because the mean of its divisors is an integer number (32502756).

Almost surely, 2^2221611120 is an apocalyptic number.

2221611120 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 2221611120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900330720).

2221611120 is an abundant number, since it is smaller than the sum of its proper divisors (5579050320).

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

2221611120 is a wasteful number, since it uses less digits than its factorization.

2221611120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2221611120 is about 47133.9699155503. The cubic root of 2221611120 is about 1304.8362502072.

Adding to 2221611120 its reverse (211161222), we get a palindrome (2432772342).

The spelling of 2221611120 in words is "two billion, two hundred twenty-one million, six hundred eleven thousand, one hundred twenty".