2048000 has 60 divisors (see below), whose sum is σ = 5111652. Its totient is φ = 819200.

The previous prime is 2047993. The next prime is 2048003. The reversal of 2048000 is 8402.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 1982464 = 256^2 + 1408^2 .

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 409598 + ... + 409602.

2^2048000 is an apocalyptic number.

2048000 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 2048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555826).

2048000 is an abundant number, since it is smaller than the sum of its proper divisors (3063652).

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

2048000 is an frugal number, since it uses more digits than its factorization.

2048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2048000 is about 1431.0835055999. The cubic root of 2048000 is about 126.9920841575.

The spelling of 2048000 in words is "two million, forty-eight thousand".