2712000 has 112 divisors (see below), whose sum is σ = 9034272. Its totient is φ = 716800.

The previous prime is 2711981. The next prime is 2712001. The reversal of 2712000 is 2172.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2712001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23944 + ... + 24056.

2^2712000 is an apocalyptic number.

2712000 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 2712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517136).

2712000 is an abundant number, since it is smaller than the sum of its proper divisors (6322272).

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

2712000 is a wasteful number, since it uses less digits than its factorization.

2712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 2712000 is about 1646.8151080191. The cubic root of 2712000 is about 139.4536529788.

Adding to 2712000 its reverse (2172), we get a palindrome (2714172).

The spelling of 2712000 in words is "two million, seven hundred twelve thousand".