2712326400 has 729 divisors, whose sum is σ = 11656013733. Its totient is φ = 599961600.

The previous prime is 2712326381. The next prime is 2712326401. The reversal of 2712326400 is 46232172.

The square root of 2712326400 is 52080.

It is a perfect power (a square), and thus also a powerful number.

2712326400 is a `hidden beast` number, since 2 + 7 + 12 + 3 + 2 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 976437504 + 1735888896 = 31248^2 + 41664^2 .

It is not an unprimeable number, because it can be changed into a prime (2712326401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 87494385 + ... + 87494415.

Almost surely, 2^2712326400 is an apocalyptic number.

2712326400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2712326400 is the 52080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2712326400

2712326400 is an abundant number, since it is smaller than the sum of its proper divisors (8943687333).

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

2712326400 is a wasteful number, since it uses less digits than its factorization.

2712326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The cubic root of 2712326400 is about 1394.5924735520.

Adding to 2712326400 its reverse (46232172), we get a palindrome (2758558572).

The spelling of 2712326400 in words is "two billion, seven hundred twelve million, three hundred twenty-six thousand, four hundred".