2075838960 has 160 divisors (see below), whose sum is σ = 6957554688. Its totient is φ = 508953600.

The previous prime is 2075838953. The next prime is 2075838991. The reversal of 2075838960 is 698385702.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 881785 + ... + 884135.

Almost surely, 2^2075838960 is an apocalyptic number.

2075838960 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 2075838960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478777344).

2075838960 is an abundant number, since it is smaller than the sum of its proper divisors (4881715728).

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

2075838960 is a wasteful number, since it uses less digits than its factorization.

2075838960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2075838960 is about 45561.3757474464. The cubic root of 2075838960 is about 1275.6490781996.

The spelling of 2075838960 in words is "two billion, seventy-five million, eight hundred thirty-eight thousand, nine hundred sixty".