2028880 has 40 divisors (see below), whose sum is σ = 5392512. Its totient is φ = 695424.

The previous prime is 2028863. The next prime is 2028881. The reversal of 2028880 is 888202.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1252 + ... + 2371.

2^2028880 is an apocalyptic number.

2028880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2028880 is an abundant number, since it is smaller than the sum of its proper divisors (3363632).

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

2028880 is a wasteful number, since it uses less digits than its factorization.

2028880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 2028880 is about 1424.3875877022. The cubic root of 2028880 is about 126.5956511745.

It can be divided in two parts, 20 and 28880, that multiplied together give a square (577600 = 760²).

The spelling of 2028880 in words is "two million, twenty-eight thousand, eight hundred eighty".