2891348096 has 96 divisors (see below), whose sum is σ = 7216162380. Its totient is φ = 1143797760.

The previous prime is 2891348087. The next prime is 2891348099. The reversal of 2891348096 is 6908431982.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2718162496 + 173185600 = 52136^2 + 13160^2 .

It is not an unprimeable number, because it can be changed into a prime (2891348099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63806 + ... + 99266.

Almost surely, 2^2891348096 is an apocalyptic number.

2891348096 is a gapful number since it is divisible by the number (26) 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 2891348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608081190).

2891348096 is an abundant number, since it is smaller than the sum of its proper divisors (4324814284).

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

2891348096 is a wasteful number, since it uses less digits than its factorization.

2891348096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35502 (or 35483 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The square root of 2891348096 is about 53771.2571547290. The cubic root of 2891348096 is about 1424.6235748934.

The spelling of 2891348096 in words is "two billion, eight hundred ninety-one million, three hundred forty-eight thousand, ninety-six".