2712145379328 has 960 divisors, whose sum is σ = 10152590192640. Its totient is φ = 703736709120.

The previous prime is 2712145379303. The next prime is 2712145379387. The reversal of 2712145379328 is 8239735412172.

2712145379328 is a `hidden beast` number, since 2 + 7 + 1 + 2 + 14 + 537 + 93 + 2 + 8 = 666.

It is a super-2 number, since 2×2712145379328² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2759048725 + ... + 2759049707.

It is an arithmetic number, because the mean of its divisors is an integer number (10575614784).

Almost surely, 2^{2712145379328} is an apocalyptic number.

2712145379328 is a gapful number since it is divisible by the number (28) 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 2712145379328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076295096320).

2712145379328 is an abundant number, since it is smaller than the sum of its proper divisors (7440444813312).

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

2712145379328 is an frugal number, since it uses more digits than its factorization.

2712145379328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1006 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 2712145379328 in words is "two trillion, seven hundred twelve billion, one hundred forty-five million, three hundred seventy-nine thousand, three hundred twenty-eight".