2781968094 has 96 divisors (see below), whose sum is σ = 6512987520. Its totient is φ = 855069696.

The previous prime is 2781968093. The next prime is 2781968153. The reversal of 2781968094 is 4908691872.

It is a self number, because there is not a number n which added to its sum of digits gives 2781968094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2781968093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3794952 + ... + 3795684.

It is an arithmetic number, because the mean of its divisors is an integer number (67843620).

Almost surely, 2^2781968094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2781968094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256493760).

2781968094 is an abundant number, since it is smaller than the sum of its proper divisors (3731019426).

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

2781968094 is a wasteful number, since it uses less digits than its factorization.

2781968094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 2781968094 is about 52744.3655189822. The cubic root of 2781968094 is about 1406.4276036188.

The spelling of 2781968094 in words is "two billion, seven hundred eighty-one million, nine hundred sixty-eight thousand, ninety-four".