2791966720 has 96 divisors (see below), whose sum is σ = 6881074200. Its totient is φ = 1086455808.

The previous prime is 2791966669. The next prime is 2791966721. The reversal of 2791966720 is 276691972.

It can be written as a sum of positive squares in 4 ways, for example, as 2791220224 + 746496 = 52832^2 + 864^2 .

It is not an unprimeable number, because it can be changed into a prime (2791966721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375196 + ... + 382564.

Almost surely, 2^2791966720 is an apocalyptic number.

2791966720 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 2791966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440537100).

2791966720 is an abundant number, since it is smaller than the sum of its proper divisors (4089107480).

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

2791966720 is an equidigital number, since it uses as much as digits as its factorization.

2791966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7433 (or 7413 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The square root of 2791966720 is about 52839.0643369089. The cubic root of 2791966720 is about 1408.1105285133.

The spelling of 2791966720 in words is "two billion, seven hundred ninety-one million, nine hundred sixty-six thousand, seven hundred twenty".