2441013120 has 384 divisors, whose sum is σ = 10376533440. Its totient is φ = 514916352.

The previous prime is 2441013101. The next prime is 2441013131. The reversal of 2441013120 is 213101442.

2441013120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 2441013093 and 2441013102.

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, 521832 + ... + 526488.

Almost surely, 2^2441013120 is an apocalyptic number.

2441013120 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 2441013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188266720).

2441013120 is an abundant number, since it is smaller than the sum of its proper divisors (7935520320).

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

2441013120 is a wasteful number, since it uses less digits than its factorization.

2441013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2441013120 is about 49406.6100840768. The cubic root of 2441013120 is about 1346.4494023686.

Adding to 2441013120 its reverse (213101442), we get a palindrome (2654114562).

The spelling of 2441013120 in words is "two billion, four hundred forty-one million, thirteen thousand, one hundred twenty".