2716000 has 96 divisors (see below), whose sum is σ = 7705152. Its totient is φ = 921600.

The previous prime is 2715997. The next prime is 2716027. The reversal of 2716000 is 6172.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27952 + ... + 28048.

It is an arithmetic number, because the mean of its divisors is an integer number (80262).

2^2716000 is an apocalyptic number.

2716000 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 2716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852576).

2716000 is an abundant number, since it is smaller than the sum of its proper divisors (4989152).

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

2716000 is an equidigital number, since it uses as much as digits as its factorization.

2716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 2716000 is about 1648.0291259562. The cubic root of 2716000 is about 139.5221805834.

The spelling of 2716000 in words is "two million, seven hundred sixteen thousand".