2769319968 has 192 divisors, whose sum is σ = 7986988800. Its totient is φ = 837365760.

The previous prime is 2769319967. The next prime is 2769319979. The reversal of 2769319968 is 8699139672.

It is not an unprimeable number, because it can be changed into a prime (2769319967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3905598 + ... + 3906306.

It is an arithmetic number, because the mean of its divisors is an integer number (41598900).

Almost surely, 2^2769319968 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 2769319968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993494400).

2769319968 is an abundant number, since it is smaller than the sum of its proper divisors (5217668832).

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

2769319968 is a wasteful number, since it uses less digits than its factorization.

2769319968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 827 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 60.

The square root of 2769319968 is about 52624.3286703023. The cubic root of 2769319968 is about 1404.2929397434.

The spelling of 2769319968 in words is "two billion, seven hundred sixty-nine million, three hundred nineteen thousand, nine hundred sixty-eight".