2719749312 has 504 divisors, whose sum is σ = 9738945216. Its totient is φ = 749855232.

The previous prime is 2719749293. The next prime is 2719749313. The reversal of 2719749312 is 2139479172.

2719749312 is a `hidden beast` number, since 2 + 71 + 97 + 493 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (2719749313) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32768023 + ... + 32768105.

It is an arithmetic number, because the mean of its divisors is an integer number (19323304).

Almost surely, 2^2719749312 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 2719749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869472608).

2719749312 is an abundant number, since it is smaller than the sum of its proper divisors (7019195904).

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

2719749312 is an equidigital number, since it uses as much as digits as its factorization.

2719749312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 2719749312 is about 52151.2158247533. The cubic root of 2719749312 is about 1395.8635236297.

The spelling of 2719749312 in words is "two billion, seven hundred nineteen million, seven hundred forty-nine thousand, three hundred twelve".