2075185672 has 128 divisors (see below), whose sum is σ = 4790016000. Its totient is φ = 840840000.

The previous prime is 2075185669. The next prime is 2075185687. The reversal of 2075185672 is 2765815702.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8267547 + ... + 8267797.

It is an arithmetic number, because the mean of its divisors is an integer number (37422000).

Almost surely, 2^2075185672 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 2075185672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395008000).

2075185672 is an abundant number, since it is smaller than the sum of its proper divisors (2714830328).

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

2075185672 is a wasteful number, since it uses less digits than its factorization.

2075185672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The square root of 2075185672 is about 45554.2058651010. The cubic root of 2075185672 is about 1275.5152441708.

The spelling of 2075185672 in words is "two billion, seventy-five million, one hundred eighty-five thousand, six hundred seventy-two".