2966763024 has 225 divisors, whose sum is σ = 9225123127. Its totient is φ = 920291328.

The previous prime is 2966763011. The next prime is 2966763047. The reversal of 2966763024 is 4203676692.

The square root of 2966763024 is 54468.

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

2966763024 is a `hidden beast` number, since 2 + 9 + 6 + 6 + 7 + 630 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3920400 + 2962842624 = 1980^2 + 54432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 33334372 + ... + 33334460.

Almost surely, 2^2966763024 is an apocalyptic number.

2966763024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2966763024 is the 54468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2966763024

2966763024 is an abundant number, since it is smaller than the sum of its proper divisors (6258360103).

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

2966763024 is an equidigital number, since it uses as much as digits as its factorization.

2966763024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The cubic root of 2966763024 is about 1436.9035547913.

The spelling of 2966763024 in words is "two billion, nine hundred sixty-six million, seven hundred sixty-three thousand, twenty-four".