2079418752 has 192 divisors, whose sum is σ = 6156034560. Its totient is φ = 673505280.

The previous prime is 2079418751. The next prime is 2079418769. The reversal of 2079418752 is 2578149702.

It is a happy number.

2079418752 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 (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2079418698 and 2079418707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079418751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8924428 + ... + 8924660.

It is an arithmetic number, because the mean of its divisors is an integer number (32062680).

Almost surely, 2^2079418752 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 2079418752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078017280).

2079418752 is an abundant number, since it is smaller than the sum of its proper divisors (4076615808).

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

2079418752 is a wasteful number, since it uses less digits than its factorization.

2079418752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 2079418752 is about 45600.6442059759. The cubic root of 2079418752 is about 1276.3819442759.

The spelling of 2079418752 in words is "two billion, seventy-nine million, four hundred eighteen thousand, seven hundred fifty-two".