2072871648 has 144 divisors (see below), whose sum is σ = 6164121600. Its totient is φ = 685190016.

The previous prime is 2072871629. The next prime is 2072871649. The reversal of 2072871648 is 8461782702.

2072871648 is a `hidden beast` number, since 207 + 287 + 164 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072871649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 986503 + ... + 988601.

It is an arithmetic number, because the mean of its divisors is an integer number (42806400).

Almost surely, 2^2072871648 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 2072871648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082060800).

2072871648 is an abundant number, since it is smaller than the sum of its proper divisors (4091249952).

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

2072871648 is a wasteful number, since it uses less digits than its factorization.

2072871648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2072871648 is about 45528.8002038270. The cubic root of 2072871648 is about 1275.0409620058.

The spelling of 2072871648 in words is "two billion, seventy-two million, eight hundred seventy-one thousand, six hundred forty-eight".