2713495680 has 256 divisors, whose sum is σ = 10983686400. Its totient is φ = 620199936.

The previous prime is 2713495669. The next prime is 2713495699. The reversal of 2713495680 is 865943172.

2713495680 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2713495680 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109744 + ... + 132176.

It is an arithmetic number, because the mean of its divisors is an integer number (42905025).

It is a 1-persistent number, because it is pandigital, but 2⋅2713495680 = 5426991360 is not.

Almost surely, 2^2713495680 is an apocalyptic number.

2713495680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2713495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491843200).

2713495680 is an abundant number, since it is smaller than the sum of its proper divisors (8270190720).

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

2713495680 is a wasteful number, since it uses less digits than its factorization.

2713495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22468 (or 22450 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2713495680 is about 52091.2245968551. The cubic root of 2713495680 is about 1394.7928470293.

The spelling of 2713495680 in words is "two billion, seven hundred thirteen million, four hundred ninety-five thousand, six hundred eighty".