2079952920 has 96 divisors (see below), whose sum is σ = 6768094320. Its totient is φ = 553977600.

The previous prime is 2079952841. The next prime is 2079952939. The reversal of 2079952920 is 292599702.

It is a happy number.

2079952920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337870 + ... + 343970.

Almost surely, 2^2079952920 is an apocalyptic number.

2079952920 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 2079952920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384047160).

2079952920 is an abundant number, since it is smaller than the sum of its proper divisors (4688141400).

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

2079952920 is a wasteful number, since it uses less digits than its factorization.

2079952920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7065 (or 7058 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 2079952920 is about 45606.5008524004. The cubic root of 2079952920 is about 1276.4912286640.

The spelling of 2079952920 in words is "two billion, seventy-nine million, nine hundred fifty-two thousand, nine hundred twenty".