2970686016 has 105 divisors (see below), whose sum is σ = 8817692169. Its totient is φ = 988920576.

The previous prime is 2970686009. The next prime is 2970686027. The reversal of 2970686016 is 6106860792.

The square root of 2970686016 is 54504.

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

It can be written as a sum of positive squares in only one way, i.e., 1835265600 + 1135420416 = 42840^2 + 33696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3923910 + ... + 3924666.

Almost surely, 2^2970686016 is an apocalyptic number.

2970686016 is the 54504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2970686016

2970686016 is an abundant number, since it is smaller than the sum of its proper divisors (5847006153).

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

2970686016 is an frugal number, since it uses more digits than its factorization.

2970686016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The cubic root of 2970686016 is about 1437.5366216858.

The spelling of 2970686016 in words is "two billion, nine hundred seventy million, six hundred eighty-six thousand, sixteen".