2241114120 has 384 divisors, whose sum is σ = 8648640000. Its totient is φ = 492687360.

The previous prime is 2241114091. The next prime is 2241114121. The reversal of 2241114120 is 214111422.

2241114120 is a `hidden beast` number, since 2 + 241 + 11 + 412 + 0 = 666.

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 = 2241114093 and 2241114102.

It is not an unprimeable number, because it can be changed into a prime (2241114121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11261781 + ... + 11261979.

It is an arithmetic number, because the mean of its divisors is an integer number (22522500).

Almost surely, 2^2241114120 is an apocalyptic number.

2241114120 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 2241114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324320000).

2241114120 is an abundant number, since it is smaller than the sum of its proper divisors (6407525880).

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

2241114120 is a wasteful number, since it uses less digits than its factorization.

2241114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2241114120 is about 47340.4068423583. The cubic root of 2241114120 is about 1308.6434143349.

Adding to 2241114120 its reverse (214111422), we get a palindrome (2455225542).

The spelling of 2241114120 in words is "two billion, two hundred forty-one million, one hundred fourteen thousand, one hundred twenty".