2072251008 has 192 divisors, whose sum is σ = 6232491720. Its totient is φ = 660234240.

The previous prime is 2072251001. The next prime is 2072251019. The reversal of 2072251008 is 8001522702.

It can be written as a sum of positive squares in 4 ways, for example, as 1639278144 + 432972864 = 40488^2 + 20808^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2072251001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2599666 + ... + 2600462.

Almost surely, 2^2072251008 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 2072251008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116245860).

2072251008 is an abundant number, since it is smaller than the sum of its proper divisors (4160240712).

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

2072251008 is a wasteful number, since it uses less digits than its factorization.

2072251008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2072251008 is about 45521.9837880556. The cubic root of 2072251008 is about 1274.9136956576.

The spelling of 2072251008 in words is "two billion, seventy-two million, two hundred fifty-one thousand, eight".