2712393216 has 420 divisors, whose sum is σ = 9003255228. Its totient is φ = 815173632.

The previous prime is 2712393193. The next prime is 2712393217. The reversal of 2712393216 is 6123932172.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2712393217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 63078891 + ... + 63078933.

Almost surely, 2^2712393216 is an apocalyptic number.

2712393216 is a gapful number since it is divisible by the number (26) 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 2712393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501627614).

2712393216 is an abundant number, since it is smaller than the sum of its proper divisors (6290862012).

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

2712393216 is an frugal number, since it uses more digits than its factorization.

2712393216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 61 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 2712393216 is about 52080.6414707039. The cubic root of 2712393216 is about 1394.6039250161.

It can be divided in two parts, 2712393 and 216, that added together give a square (2712609 = 1647²).

The spelling of 2712393216 in words is "two billion, seven hundred twelve million, three hundred ninety-three thousand, two hundred sixteen".