2584740 has 48 divisors (see below), whose sum is σ = 7555968. Its totient is φ = 658944.

The previous prime is 2584739. The next prime is 2584787. The reversal of 2584740 is 474852.

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

It is a junction number, because it is equal to n+sod(n) for n = 2584698 and 2584707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444 + ... + 2316.

It is an arithmetic number, because the mean of its divisors is an integer number (157416).

2^2584740 is an apocalyptic number.

2584740 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 2584740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777984).

2584740 is an abundant number, since it is smaller than the sum of its proper divisors (4971228).

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

2584740 is a wasteful number, since it uses less digits than its factorization.

2584740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2584740 is about 1607.7126608944. The cubic root of 2584740 is about 137.2373387878.

The spelling of 2584740 in words is "two million, five hundred eighty-four thousand, seven hundred forty".