2712907538432 has 672 divisors, whose sum is σ = 7123459464000. Its totient is φ = 1030969884672.

The previous prime is 2712907538423. The next prime is 2712907538437. The reversal of 2712907538432 is 2348357092172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2712907538437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13771104158 + ... + 13771104354.

Almost surely, 2^{2712907538432} 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 2712907538432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561729732000).

2712907538432 is an abundant number, since it is smaller than the sum of its proper divisors (4410551925568).

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

2712907538432 is an equidigital number, since it uses as much as digits as its factorization.

2712907538432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 2712907538432 in words is "two trillion, seven hundred twelve billion, nine hundred seven million, five hundred thirty-eight thousand, four hundred thirty-two".