2996574756992 has 64 divisors (see below), whose sum is σ = 6007087224000. Its totient is φ = 1488932121600.

The previous prime is 2996574756961. The next prime is 2996574757087.

2996574756992 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20840867 + ... + 20984157.

It is an arithmetic number, because the mean of its divisors is an integer number (93860737875).

Almost surely, 2^{2996574756992} 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 2996574756992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003543612000).

2996574756992 is an abundant number, since it is smaller than the sum of its proper divisors (3010512467008).

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

2996574756992 is a wasteful number, since it uses less digits than its factorization.

2996574756992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144325 (or 144313 counting only the distinct ones).

The product of its digits is 4629441600, while the sum is 80.

The spelling of 2996574756992 in words is "two trillion, nine hundred ninety-six billion, five hundred seventy-four million, seven hundred fifty-six thousand, nine hundred ninety-two".