2791234080 has 576 divisors, whose sum is σ = 10818033408. Its totient is φ = 676823040.

The previous prime is 2791234051. The next prime is 2791234091. The reversal of 2791234080 is 804321972.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27099309 + ... + 27099411.

It is an arithmetic number, because the mean of its divisors is an integer number (18781308).

Almost surely, 2^2791234080 is an apocalyptic number.

2791234080 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 2791234080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409016704).

2791234080 is an abundant number, since it is smaller than the sum of its proper divisors (8026799328).

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

2791234080 is a wasteful number, since it uses less digits than its factorization.

2791234080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2791234080 is about 52832.1311324841. The cubic root of 2791234080 is about 1407.9873503082.

The spelling of 2791234080 in words is "two billion, seven hundred ninety-one million, two hundred thirty-four thousand, eighty".