2605920 has 96 divisors (see below), whose sum is σ = 8436960. Its totient is φ = 675840.

The previous prime is 2605909. The next prime is 2605927. The reversal of 2605920 is 295062.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605927) 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, 29236 + ... + 29324.

It is an arithmetic number, because the mean of its divisors is an integer number (87885).

2^2605920 is an apocalyptic number.

2605920 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 2605920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218480).

2605920 is an abundant number, since it is smaller than the sum of its proper divisors (5831040).

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

2605920 is a wasteful number, since it uses less digits than its factorization.

2605920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2605920 is about 1614.2862199746. The cubic root of 2605920 is about 137.6111717989.

The spelling of 2605920 in words is "two million, six hundred five thousand, nine hundred twenty".