2405520 has 120 divisors (see below), whose sum is σ = 8733816. Its totient is φ = 589824.

The previous prime is 2405509. The next prime is 2405527. The reversal of 2405520 is 255042.

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 1937664 = 684^2 + 1392^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2405493 and 2405502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9232 + ... + 9488.

2^2405520 is an apocalyptic number.

2405520 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 2405520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366908).

2405520 is an abundant number, since it is smaller than the sum of its proper divisors (6328296).

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

2405520 is a wasteful number, since it uses less digits than its factorization.

2405520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2405520 is about 1550.9738875945. The cubic root of 2405520 is about 133.9891578070.

The spelling of 2405520 in words is "two million, four hundred five thousand, five hundred twenty".