2791191312 has 600 divisors, whose sum is σ = 10619778624. Its totient is φ = 704132352.

The previous prime is 2791191301. The next prime is 2791191323. The reversal of 2791191312 is 2131911972.

It is an interprime number because it is at equal distance from previous prime (2791191301) and next prime (2791191323).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 121356133 + ... + 121356155.

Almost surely, 2^2791191312 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 2791191312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309889312).

2791191312 is an abundant number, since it is smaller than the sum of its proper divisors (7828587312).

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

2791191312 is an equidigital number, since it uses as much as digits as its factorization.

2791191312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 48 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 2791191312 is about 52831.7263772442. The cubic root of 2791191312 is about 1407.9801590911.

The spelling of 2791191312 in words is "two billion, seven hundred ninety-one million, one hundred ninety-one thousand, three hundred twelve".