2120113024 has 64 divisors (see below), whose sum is σ = 4566315600. Its totient is φ = 977080320.

The previous prime is 2120113013. The next prime is 2120113031. The reversal of 2120113024 is 4203110212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2120112989 and 2120113007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78204 + ... + 101764.

Almost surely, 2^2120113024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283157800).

2120113024 is an abundant number, since it is smaller than the sum of its proper divisors (2446202576).

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

2120113024 is a wasteful number, since it uses less digits than its factorization.

2120113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23631 (or 23619 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2120113024 is about 46044.6850787363. The cubic root of 2120113024 is about 1284.6544865848.

Adding to 2120113024 its reverse (4203110212), we get a palindrome (6323223236).

It can be divided in two parts, 21201 and 13024, that added together give a square (34225 = 185²).

The spelling of 2120113024 in words is "two billion, one hundred twenty million, one hundred thirteen thousand, twenty-four".