2749719672 has 432 divisors, whose sum is σ = 9757013760. Its totient is φ = 694987776.

The previous prime is 2749719671. The next prime is 2749719701. The reversal of 2749719672 is 2769179472.

2749719672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2749719671) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 21651273 + ... + 21651399.

It is an arithmetic number, because the mean of its divisors is an integer number (22585680).

Almost surely, 2^2749719672 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 2749719672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878506880).

2749719672 is an abundant number, since it is smaller than the sum of its proper divisors (7007294088).

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

2749719672 is a wasteful number, since it uses less digits than its factorization.

2749719672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 175 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 2749719672 is about 52437.7695177817. The cubic root of 2749719672 is about 1400.9720582505.

The spelling of 2749719672 in words is "two billion, seven hundred forty-nine million, seven hundred nineteen thousand, six hundred seventy-two".