2048891000 has 256 divisors, whose sum is σ = 5585448960. Its totient is φ = 696729600.

The previous prime is 2048890999. The next prime is 2048891023. The reversal of 2048891000 is 1988402.

It is a happy number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 16132937 + ... + 16133063.

It is an arithmetic number, because the mean of its divisors is an integer number (21818160).

Almost surely, 2^2048891000 is an apocalyptic number.

2048891000 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 2048891000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792724480).

2048891000 is an abundant number, since it is smaller than the sum of its proper divisors (3536557960).

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

2048891000 is a wasteful number, since it uses less digits than its factorization.

2048891000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 2048891000 is about 45264.6771776846. The cubic root of 2048891000 is about 1270.1049781989.

The spelling of 2048891000 in words is "two billion, forty-eight million, eight hundred ninety-one thousand".