2976230016 has 192 divisors, whose sum is σ = 8925756840. Its totient is φ = 951091200.

The previous prime is 2976229979. The next prime is 2976230017. The reversal of 2976230016 is 6100326792.

2976230016 is a `hidden beast` number, since 29 + 7 + 623 + 0 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1806590016 + 1169640000 = 42504^2 + 34200^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2976230017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2880636 + ... + 2881668.

Almost surely, 2^2976230016 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 2976230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462878420).

2976230016 is an abundant number, since it is smaller than the sum of its proper divisors (5949526824).

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

2976230016 is a wasteful number, since it uses less digits than its factorization.

2976230016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2976230016 is about 54554.8349461347. The cubic root of 2976230016 is about 1438.4303266348.

The spelling of 2976230016 in words is "two billion, nine hundred seventy-six million, two hundred thirty thousand, sixteen".