2713616640 has 360 divisors, whose sum is σ = 11099901120. Its totient is φ = 620089344.

The previous prime is 2713616599. The next prime is 2713616641. The reversal of 2713616640 is 466163172.

It is a happy number.

2713616640 is a `hidden beast` number, since 2 + 7 + 1 + 3 + 6 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 2713616595 and 2713616604.

It is not an unprimeable number, because it can be changed into a prime (2713616641) 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 39 ways as a sum of consecutive naturals, for example, 723891 + ... + 727629.

Almost surely, 2^2713616640 is an apocalyptic number.

2713616640 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 2713616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549950560).

2713616640 is an abundant number, since it is smaller than the sum of its proper divisors (8386284480).

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

2713616640 is an equidigital number, since it uses as much as digits as its factorization.

2713616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2713616640 is about 52092.3856240046. The cubic root of 2713616640 is about 1394.8135720345.

The spelling of 2713616640 in words is "two billion, seven hundred thirteen million, six hundred sixteen thousand, six hundred forty".