2584380 has 48 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 652608.

The previous prime is 2584369. The next prime is 2584381. The reversal of 2584380 is 834852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2584381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7 + ... + 2273.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

2^2584380 is an apocalyptic number.

2584380 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 2584380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

2584380 is an abundant number, since it is smaller than the sum of its proper divisors (5036100).

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

2584380 is a wasteful number, since it uses less digits than its factorization.

2584380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2584380 is about 1607.6006966906. The cubic root of 2584380 is about 137.2309670656.

The spelling of 2584380 in words is "two million, five hundred eighty-four thousand, three hundred eighty".