2713720320 has 400 divisors, whose sum is σ = 10160108640. Its totient is φ = 690978816.

The previous prime is 2713720309. The next prime is 2713720337. The reversal of 2713720320 is 230273172.

It is a happy number.

2713720320 is a `hidden beast` number, since 271 + 3 + 72 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4768996 + ... + 4769564.

Almost surely, 2^2713720320 is an apocalyptic number.

2713720320 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 2713720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080054320).

2713720320 is an abundant number, since it is smaller than the sum of its proper divisors (7446388320).

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

2713720320 is an equidigital number, since it uses as much as digits as its factorization.

2713720320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2713720320 is about 52093.3807695373. The cubic root of 2713720320 is about 1394.8313358344.

Adding to 2713720320 its reverse (230273172), we get a palindrome (2943993492).

The spelling of 2713720320 in words is "two billion, seven hundred thirteen million, seven hundred twenty thousand, three hundred twenty".