2712000000 has 280 divisors, whose sum is σ = 9110977128. Its totient is φ = 716800000.

The previous prime is 2711999977. The next prime is 2712000029. The reversal of 2712000000 is 2172.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2712000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23999944 + ... + 24000056.

Almost surely, 2^2712000000 is an apocalyptic number.

2712000000 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 2712000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555488564).

2712000000 is an abundant number, since it is smaller than the sum of its proper divisors (6398977128).

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

2712000000 is an frugal number, since it uses more digits than its factorization.

2712000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 123 counting only the distinct ones).

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

The square root of 2712000000 is about 52076.8662651661. The cubic root of 2712000000 is about 1394.5365297880.

Adding to 2712000000 its reverse (2172), we get a palindrome (2712002172).

It can be divided in two parts, 27 and 12000000, that multiplied together give a square (324000000 = 18000²).

The spelling of 2712000000 in words is "two billion, seven hundred twelve million", and thus it is an aban number.