2593920 has 128 divisors (see below), whose sum is σ = 9498240. Its totient is φ = 589824.

The previous prime is 2593919. The next prime is 2593933. The reversal of 2593920 is 293952.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

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, 13344 + ... + 13536.

It is an arithmetic number, because the mean of its divisors is an integer number (74205).

2^2593920 is an apocalyptic number.

2593920 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 2593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749120).

2593920 is an abundant number, since it is smaller than the sum of its proper divisors (6904320).

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

2593920 is a wasteful number, since it uses less digits than its factorization.

2593920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 2593920 is about 1610.5651182116. The cubic root of 2593920 is about 137.3996181942.

Subtracting from 2593920 its reverse (293952), we obtain a cube (2299968 = 132³).

The spelling of 2593920 in words is "two million, five hundred ninety-three thousand, nine hundred twenty".