2079724816 has 45 divisors (see below), whose sum is σ = 4368249711. Its totient is φ = 958778496.

The previous prime is 2079724793. The next prime is 2079724817. The reversal of 2079724816 is 6184279702.

The square root of 2079724816 is 45604.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 364816 + 2079360000 = 604^2 + 45600^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2079724817) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2370970 + ... + 2371846.

Almost surely, 2^2079724816 is an apocalyptic number.

2079724816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2079724816 is the 45604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2079724816

2079724816 is an abundant number, since it is smaller than the sum of its proper divisors (2288524895).

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

2079724816 is an frugal number, since it uses more digits than its factorization.

2079724816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The cubic root of 2079724816 is about 1276.4445636013. Note that the first 3 decimals are identical.

The spelling of 2079724816 in words is "two billion, seventy-nine million, seven hundred twenty-four thousand, eight hundred sixteen".