2970571968 has 336 divisors, whose sum is σ = 10872825600. Its totient is φ = 783074304.

The previous prime is 2970571921. The next prime is 2970571979. The reversal of 2970571968 is 8691750792.

2970571968 is a `hidden beast` number, since 2 + 9 + 7 + 0 + 571 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 1414183 + ... + 1416281.

It is an arithmetic number, because the mean of its divisors is an integer number (32359600).

Almost surely, 2^2970571968 is an apocalyptic number.

2970571968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2970571968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5436412800).

2970571968 is an abundant number, since it is smaller than the sum of its proper divisors (7902253632).

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

2970571968 is a wasteful number, since it uses less digits than its factorization.

2970571968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 2970571968 is about 54502.9537548196. The cubic root of 2970571968 is about 1437.5182252308.

The spelling of 2970571968 in words is "two billion, nine hundred seventy million, five hundred seventy-one thousand, nine hundred sixty-eight".