2713159680 has 768 divisors, whose sum is σ = 11472814080. Its totient is φ = 530841600.

The previous prime is 2713159679. The next prime is 2713159681. The reversal of 2713159680 is 869513172.

It is an interprime number because it is at equal distance from previous prime (2713159679) and next prime (2713159681).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2713159680² = 14722470898355404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2713159681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73328622 + ... + 73328658.

It is an arithmetic number, because the mean of its divisors is an integer number (14938560).

Almost surely, 2^2713159680 is an apocalyptic number.

2713159680 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 2713159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736407040).

2713159680 is an abundant number, since it is smaller than the sum of its proper divisors (8759654400).

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

2713159680 is a wasteful number, since it uses less digits than its factorization.

2713159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 2713159680 is about 52087.9993856550. Note that the first 3 decimals coincide. The cubic root of 2713159680 is about 1394.7352743387.

The spelling of 2713159680 in words is "two billion, seven hundred thirteen million, one hundred fifty-nine thousand, six hundred eighty".