2334561120 has 144 divisors (see below), whose sum is σ = 7985446560. Its totient is φ = 621084672.

The previous prime is 2334561083. The next prime is 2334561127. The reversal of 2334561120 is 211654332.

2334561120 is a `hidden beast` number, since 2 + 3 + 3 + 45 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334561127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699616 + ... + 702944.

It is an arithmetic number, because the mean of its divisors is an integer number (55454490).

Almost surely, 2^2334561120 is an apocalyptic number.

2334561120 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 2334561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992723280).

2334561120 is an abundant number, since it is smaller than the sum of its proper divisors (5650885440).

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

2334561120 is a wasteful number, since it uses less digits than its factorization.

2334561120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2334561120 is about 48317.2962819734. The cubic root of 2334561120 is about 1326.5850015245.

The spelling of 2334561120 in words is "two billion, three hundred thirty-four million, five hundred sixty-one thousand, one hundred twenty".