2971772668728 has 384 divisors, whose sum is σ = 9147671470080. Its totient is φ = 866418094080.

The previous prime is 2971772668721. The next prime is 2971772668747. The reversal of 2971772668728 is 8278662771792.

It is a happy number.

2971772668728 is a `hidden beast` number, since 297 + 1 + 7 + 7 + 266 + 8 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2971772668721) 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, 231205950 + ... + 231218802.

It is an arithmetic number, because the mean of its divisors is an integer number (23822061120).

Almost surely, 2^{2971772668728} 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 2971772668728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573835735040).

2971772668728 is an abundant number, since it is smaller than the sum of its proper divisors (6175898801352).

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

2971772668728 is a wasteful number, since it uses less digits than its factorization.

2971772668728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13139 (or 13132 counting only the distinct ones).

The product of its digits is 398297088, while the sum is 72.

The spelling of 2971772668728 in words is "two trillion, nine hundred seventy-one billion, seven hundred seventy-two million, six hundred sixty-eight thousand, seven hundred twenty-eight".