2712085200 has 480 divisors, whose sum is σ = 10832699520. Its totient is φ = 638668800.

The previous prime is 2712085139. The next prime is 2712085223. The reversal of 2712085200 is 25802172.

It is a super-2 number, since 2×2712085200² = 14710812264118080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4395292 + ... + 4395908.

It is an arithmetic number, because the mean of its divisors is an integer number (22568124).

Almost surely, 2^2712085200 is an apocalyptic number.

2712085200 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 2712085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416349760).

2712085200 is an abundant number, since it is smaller than the sum of its proper divisors (8120614320).

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

2712085200 is a wasteful number, since it uses less digits than its factorization.

2712085200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2712085200 is about 52077.6842803134. The cubic root of 2712085200 is about 1394.5511331887.

Adding to 2712085200 its reverse (25802172), we get a palindrome (2737887372).

The spelling of 2712085200 in words is "two billion, seven hundred twelve million, eighty-five thousand, two hundred".