2967016901472 has 576 divisors, whose sum is σ = 9804035404800. Its totient is φ = 843510620160.

The previous prime is 2967016901461. The next prime is 2967016901477. The reversal of 2967016901472 is 2741096107692.

2967016901472 is a `hidden beast` number, since 2 + 9 + 6 + 7 + 0 + 169 + 0 + 1 + 472 = 666.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2967016901477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 466435572 + ... + 466441932.

It is an arithmetic number, because the mean of its divisors is an integer number (17020894800).

Almost surely, 2^{2967016901472} 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 2967016901472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902017702400).

2967016901472 is an abundant number, since it is smaller than the sum of its proper divisors (6837018503328).

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

2967016901472 is a wasteful number, since it uses less digits than its factorization.

2967016901472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 2967016901472 in words is "two trillion, nine hundred sixty-seven billion, sixteen million, nine hundred one thousand, four hundred seventy-two".