2075381000 has 128 divisors (see below), whose sum is σ = 6054946560. Its totient is φ = 646848000.

The previous prime is 2075380997. The next prime is 2075381047. The reversal of 2075381000 is 1835702.

It is a super-2 number, since 2×2075381000² = 8614412590322000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63524 + ... + 90476.

It is an arithmetic number, because the mean of its divisors is an integer number (47304270).

Almost surely, 2^2075381000 is an apocalyptic number.

2075381000 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 2075381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027473280).

2075381000 is an abundant number, since it is smaller than the sum of its proper divisors (3979565560).

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

2075381000 is a wasteful number, since it uses less digits than its factorization.

2075381000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26992 (or 26978 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 2075381000 is about 45556.3497220750. The cubic root of 2075381000 is about 1275.5552624413. Note that the first 3 decimals are identical.

The spelling of 2075381000 in words is "two billion, seventy-five million, three hundred eighty-one thousand".