2048080 has 20 divisors (see below), whose sum is σ = 4761972. Its totient is φ = 819200.

The previous prime is 2048063. The next prime is 2048107. The reversal of 2048080 is 808402.

It can be written as a sum of positive squares in 2 ways, for example, as 1628176 + 419904 = 1276^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12721 + ... + 12880.

It is the magic constant of a 160 × 160 magic square.

2^2048080 is an apocalyptic number.

2048080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2048080 is an abundant number, since it is smaller than the sum of its proper divisors (2713892).

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

2048080 is a wasteful number, since it uses less digits than its factorization.

2048080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25614 (or 25608 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2048080 is about 1431.1114561766. Note that the first 3 decimals coincide. The cubic root of 2048080 is about 126.9937376787.

It can be divided in two parts, 20480 and 80, that multiplied together give a square (1638400 = 1280²).

The spelling of 2048080 in words is "two million, forty-eight thousand, eighty".