2946976488976 has 45 divisors (see below), whose sum is σ = 6182952681159. Its totient is φ = 1360101794688.

The previous prime is 2946976488961. The next prime is 2946976488983. The reversal of 2946976488976 is 6798846796492.

The square root of 2946976488976 is 1716676.

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 1353322728976 + 1593653760000 = 1163324^2 + 1262400^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2946976488893 and 2946976488902.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 89250646 + ... + 89283658.

Almost surely, 2^{2946976488976} is an apocalyptic number.

2946976488976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2946976488976 is the 1716676-th square number.

It is an amenable number.

2946976488976 is an abundant number, since it is smaller than the sum of its proper divisors (3235976192183).

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

2946976488976 is an frugal number, since it uses more digits than its factorization.

2946976488976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66060 (or 33028 counting only the distinct ones).

The product of its digits is 15801827328, while the sum is 85.

The spelling of 2946976488976 in words is "two trillion, nine hundred forty-six billion, nine hundred seventy-six million, four hundred eighty-eight thousand, nine hundred seventy-six".