3001997250 has 288 divisors, whose sum is σ = 9597704688. Its totient is φ = 674956800.

The previous prime is 3001997213. The next prime is 3001997261. The reversal of 3001997250 is 527991003.

3001997250 is a `hidden beast` number, since 300 + 19 + 97 + 250 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 163558521 + 2838438729 = 12789^2 + 53277^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8048064 + ... + 8048436.

Almost surely, 2^3001997250 is an apocalyptic number.

3001997250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001997250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798852344).

3001997250 is an abundant number, since it is smaller than the sum of its proper divisors (6595707438).

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

3001997250 is a wasteful number, since it uses less digits than its factorization.

3001997250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 3001997250 is about 54790.4850316184. The cubic root of 3001997250 is about 1442.5695585243.

The spelling of 3001997250 in words is "three billion, one million, nine hundred ninety-seven thousand, two hundred fifty".