2075948160 has 256 divisors, whose sum is σ = 7774945920. Its totient is φ = 464486400.

The previous prime is 2075948153. The next prime is 2075948177. The reversal of 2075948160 is 618495702.

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, 270780 + ... + 278340.

Almost surely, 2^2075948160 is an apocalyptic number.

2075948160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2075948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887472960).

2075948160 is an abundant number, since it is smaller than the sum of its proper divisors (5698997760).

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

2075948160 is a wasteful number, since it uses less digits than its factorization.

2075948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7607 (or 7595 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2075948160 is about 45562.5741151661. The cubic root of 2075948160 is about 1275.6714464146.

The spelling of 2075948160 in words is "two billion, seventy-five million, nine hundred forty-eight thousand, one hundred sixty".