2715967061712 has 480 divisors, whose sum is σ = 8503763224320. Its totient is φ = 836045660160.

The previous prime is 2715967061659. The next prime is 2715967061723. The reversal of 2715967061712 is 2171607695172.

2715967061712 is a `hidden beast` number, since 2 + 7 + 1 + 5 + 9 + 6 + 7 + 0 + 617 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2955349989 + ... + 2955350907.

It is an arithmetic number, because the mean of its divisors is an integer number (17716173384).

Almost surely, 2^{2715967061712} 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 2715967061712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251881612160).

2715967061712 is an abundant number, since it is smaller than the sum of its proper divisors (5787796162608).

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

2715967061712 is a wasteful number, since it uses less digits than its factorization.

2715967061712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 2715967061712 in words is "two trillion, seven hundred fifteen billion, nine hundred sixty-seven million, sixty-one thousand, seven hundred twelve".