2583840 has 96 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 589824.

The previous prime is 2583839. The next prime is 2583857. The reversal of 2583840 is 483852.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 2583798 and 2583807.

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, 2976 + ... + 3744.

It is an arithmetic number, because the mean of its divisors is an integer number (97020).

2^2583840 is an apocalyptic number.

2583840 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 2583840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

2583840 is an abundant number, since it is smaller than the sum of its proper divisors (6730080).

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

2583840 is a wasteful number, since it uses less digits than its factorization.

2583840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

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

The square root of 2583840 is about 1607.4327357622. The cubic root of 2583840 is about 137.2214083727.

It can be divided in two parts, 25838 and 40, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 2583840 in words is "two million, five hundred eighty-three thousand, eight hundred forty".