2713681152 has 486 divisors, whose sum is σ = 10035008802. Its totient is φ = 699052032.

The previous prime is 2713681147. The next prime is 2713681169. The reversal of 2713681152 is 2511863172.

2713681152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1878702336 + 834978816 = 43344^2 + 28896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 63108843 + ... + 63108885.

Almost surely, 2^2713681152 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 2713681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017504401).

2713681152 is an abundant number, since it is smaller than the sum of its proper divisors (7321327650).

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

2713681152 is a wasteful number, since it uses less digits than its factorization.

2713681152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 68 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 2713681152 is about 52093.0048279037. The cubic root of 2713681152 is about 1394.8246251187.

It can be divided in two parts, 2713 and 681152, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 2713681152 in words is "two billion, seven hundred thirteen million, six hundred eighty-one thousand, one hundred fifty-two".