2589480 has 48 divisors (see below), whose sum is σ = 8416980. Its totient is φ = 690432.

The previous prime is 2589479. The next prime is 2589487. The reversal of 2589480 is 849852.

It can be written as a sum of positive squares in 2 ways, for example, as 2304324 + 285156 = 1518^2 + 534^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2589487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3237 + ... + 3956.

2^2589480 is an apocalyptic number.

2589480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2589480 is an abundant number, since it is smaller than the sum of its proper divisors (5827500).

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

2589480 is a wasteful number, since it uses less digits than its factorization.

2589480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7210 (or 7203 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2589480 is about 1609.1861296941. The cubic root of 2589480 is about 137.3211780069.

The spelling of 2589480 in words is "two million, five hundred eighty-nine thousand, four hundred eighty".