2712640196 has 90 divisors (see below), whose sum is σ = 5742223662. Its totient is φ = 1120539840.

The previous prime is 2712640169. The next prime is 2712640261. The reversal of 2712640196 is 6910462172.

2712640196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1654048900 + 1058591296 = 40670^2 + 32536^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32682371 + ... + 32682453.

Almost surely, 2^2712640196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2712640196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871111831).

2712640196 is an abundant number, since it is smaller than the sum of its proper divisors (3029583466).

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

2712640196 is an frugal number, since it uses more digits than its factorization.

2712640196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 2712640196 is about 52083.0125472788. The cubic root of 2712640196 is about 1394.6462528052.

The spelling of 2712640196 in words is "two billion, seven hundred twelve million, six hundred forty thousand, one hundred ninety-six".