2731212000 has 768 divisors, whose sum is σ = 11510553600. Its totient is φ = 627264000.

The previous prime is 2731211969. The next prime is 2731212041. The reversal of 2731212000 is 2121372.

2731212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2731212000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143747991 + ... + 143748009.

It is an arithmetic number, because the mean of its divisors is an integer number (14987700).

Almost surely, 2^2731212000 is an apocalyptic number.

2731212000 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 2731212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755276800).

2731212000 is an abundant number, since it is smaller than the sum of its proper divisors (8779341600).

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

2731212000 is a wasteful number, since it uses less digits than its factorization.

2731212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2731212000 is about 52260.9988423490. The cubic root of 2731212000 is about 1397.8217828041.

Adding to 2731212000 its reverse (2121372), we get a palindrome (2733333372).

The spelling of 2731212000 in words is "two billion, seven hundred thirty-one million, two hundred twelve thousand".