2969380329721 has 81 divisors (see below), whose sum is σ = 3415026330261. Its totient is φ = 2580647846400.

The previous prime is 2969380329683. The next prime is 2969380329749. The reversal of 2969380329721 is 1279230839692.

The square root of 2969380329721 is 1723189.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 168911958121 + 2800468371600 = 410989^2 + 1673460^2 .

It is not a de Polignac number, because 2969380329721 - 2¹⁹ = 2969379805433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a self number, because there is not a number n which added to its sum of digits gives 2969380329721.

It is not an unprimeable number, because it can be changed into a prime (2969380329121) 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 80 ways as a sum of consecutive naturals, for example, 48678366031 + ... + 48678366091.

Almost surely, 2^{2969380329721} is an apocalyptic number.

2969380329721 is the 1723189-th square number.

2969380329721 is the 861595-th centered octagonal number.

It is an amenable number.

2969380329721 is a deficient number, since it is larger than the sum of its proper divisors (445646000540).

2969380329721 is an frugal number, since it uses more digits than its factorization.

2969380329721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 61.

The spelling of 2969380329721 in words is "two trillion, nine hundred sixty-nine billion, three hundred eighty million, three hundred twenty-nine thousand, seven hundred twenty-one".