2583920 has 20 divisors (see below), whose sum is σ = 6007800. Its totient is φ = 1033536.

The previous prime is 2583907. The next prime is 2583947. The reversal of 2583920 is 293852.

It is a tau number, because it is divible by the number of its divisors (20).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16070 + ... + 16229.

It is an arithmetic number, because the mean of its divisors is an integer number (300390).

2^2583920 is an apocalyptic number.

2583920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2583920 is an abundant number, since it is smaller than the sum of its proper divisors (3423880).

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

2583920 is a wasteful number, since it uses less digits than its factorization.

2583920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32312 (or 32306 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 2583920 is about 1607.4576199701. The cubic root of 2583920 is about 137.2228245594. Note that the first 3 decimals are identical.

The spelling of 2583920 in words is "two million, five hundred eighty-three thousand, nine hundred twenty".