2791494144 has 160 divisors (see below), whose sum is σ = 8340805440. Its totient is φ = 921747456.

The previous prime is 2791494131. The next prime is 2791494161. The reversal of 2791494144 is 4414941972.

It is a self number, because there is not a number n which added to its sum of digits gives 2791494144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1561219 + ... + 1563005.

It is an arithmetic number, because the mean of its divisors is an integer number (52130034).

Almost surely, 2^2791494144 is an apocalyptic number.

2791494144 is a gapful number since it is divisible by the number (24) 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 2791494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170402720).

2791494144 is an abundant number, since it is smaller than the sum of its proper divisors (5549311296).

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

2791494144 is a wasteful number, since it uses less digits than its factorization.

2791494144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1905 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 2791494144 is about 52834.5923046634. The cubic root of 2791494144 is about 1408.0310771378.

The spelling of 2791494144 in words is "two billion, seven hundred ninety-one million, four hundred ninety-four thousand, one hundred forty-four".