2969514739984 has 135 divisors (see below), whose sum is σ = 6443530590159. Its totient is φ = 1325093402880.

The previous prime is 2969514739981. The next prime is 2969514739993. The reversal of 2969514739984 is 4899374159692.

The square root of 2969514739984 is 1723228.

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

It can be written as a sum of positive squares in 4 ways, for example, as 500443056400 + 2469071683584 = 707420^2 + 1571328^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2969514739984.

It is not an unprimeable number, because it can be changed into a prime (2969514739981) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 2777843002 + ... + 2777844070.

Almost surely, 2^{2969514739984} is an apocalyptic number.

2969514739984 is the 1723228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2969514739984

2969514739984 is an abundant number, since it is smaller than the sum of its proper divisors (3474015850175).

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

2969514739984 is an equidigital number, since it uses as much as digits as its factorization.

2969514739984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 1115 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 76.

The spelling of 2969514739984 in words is "two trillion, nine hundred sixty-nine billion, five hundred fourteen million, seven hundred thirty-nine thousand, nine hundred eighty-four".