2120611968 has 128 divisors (see below), whose sum is σ = 6282057600. Its totient is φ = 704240640.

The previous prime is 2120611957. The next prime is 2120612027. The reversal of 2120611968 is 8691160212.

2120611968 is digitally balanced in base 4, because in such base 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1073830 + ... + 1075802.

It is an arithmetic number, because the mean of its divisors is an integer number (49078575).

Almost surely, 2^2120611968 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 2120611968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141028800).

2120611968 is an abundant number, since it is smaller than the sum of its proper divisors (4161445632).

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

2120611968 is a wasteful number, since it uses less digits than its factorization.

2120611968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2120611968 is about 46050.1028011882. The cubic root of 2120611968 is about 1284.7552548561.

The spelling of 2120611968 in words is "two billion, one hundred twenty million, six hundred eleven thousand, nine hundred sixty-eight".