2583880 has 32 divisors (see below), whose sum is σ = 6262200. Its totient is φ = 953856.

The previous prime is 2583877. The next prime is 2583887. The reversal of 2583880 is 883852.

It is a happy number.

2583880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1205604 + 1378276 = 1098^2 + 1174^2 .

It is not an unprimeable number, because it can be changed into a prime (2583887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1965 + ... + 3004.

2^2583880 is an apocalyptic number.

2583880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2583880 is an abundant number, since it is smaller than the sum of its proper divisors (3678320).

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

2583880 is a wasteful number, since it uses less digits than its factorization.

2583880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 2583880 is about 1607.4451779143. The cubic root of 2583880 is about 137.2221164697. Note that the first 3 decimals are identical.

The spelling of 2583880 in words is "two million, five hundred eighty-three thousand, eight hundred eighty".