2975728672 has 96 divisors (see below), whose sum is σ = 6968166912. Its totient is φ = 1224397824.

The previous prime is 2975728649. The next prime is 2975728703. The reversal of 2975728672 is 2768275792.

It is a happy number.

It is a super-2 number, since 2×2975728672² = 17709922258725767168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555318 + ... + 560650.

It is an arithmetic number, because the mean of its divisors is an integer number (72585072).

Almost surely, 2^2975728672 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 2975728672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484083456).

2975728672 is an abundant number, since it is smaller than the sum of its proper divisors (3992438240).

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

2975728672 is a wasteful number, since it uses less digits than its factorization.

2975728672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450 (or 5442 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 55.

The square root of 2975728672 is about 54550.2398894817. The cubic root of 2975728672 is about 1438.3495545500.

The spelling of 2975728672 in words is "two billion, nine hundred seventy-five million, seven hundred twenty-eight thousand, six hundred seventy-two".