2241332120 has 64 divisors (see below), whose sum is σ = 5176116000. Its totient is φ = 873151488.

The previous prime is 2241332113. The next prime is 2241332153. The reversal of 2241332120 is 212331422.

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 = 2241332092 and 2241332101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252884 + ... + 261596.

Almost surely, 2^2241332120 is an apocalyptic number.

2241332120 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 2241332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588058000).

2241332120 is an abundant number, since it is smaller than the sum of its proper divisors (2934783880).

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

2241332120 is a wasteful number, since it uses less digits than its factorization.

2241332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8892 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2241332120 is about 47342.7092591879. The cubic root of 2241332120 is about 1308.6858448701.

Adding to 2241332120 its reverse (212331422), we get a palindrome (2453663542).

The spelling of 2241332120 in words is "two billion, two hundred forty-one million, three hundred thirty-two thousand, one hundred twenty".