2834394768 has 480 divisors, whose sum is σ = 9570637440. Its totient is φ = 806215680.

The previous prime is 2834394767. The next prime is 2834394803. The reversal of 2834394768 is 8674934382.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2834394767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46465458 + ... + 46465518.

It is an arithmetic number, because the mean of its divisors is an integer number (19938828).

Almost surely, 2^2834394768 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 2834394768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785318720).

2834394768 is an abundant number, since it is smaller than the sum of its proper divisors (6736242672).

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

2834394768 is a wasteful number, since it uses less digits than its factorization.

2834394768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 139 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 2834394768 is about 53239.0342511958. The cubic root of 2834394768 is about 1415.2074709000.

The spelling of 2834394768 in words is "two billion, eight hundred thirty-four million, three hundred ninety-four thousand, seven hundred sixty-eight".