2505420 has 72 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 645120.

The previous prime is 2505407. The next prime is 2505421. The reversal of 2505420 is 245052.

2505420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2505393 and 2505402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5356 + ... + 5804.

It is an arithmetic number, because the mean of its divisors is an integer number (109200).

2^2505420 is an apocalyptic number.

2505420 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 2505420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2505420 is an abundant number, since it is smaller than the sum of its proper divisors (5356980).

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

2505420 is a wasteful number, since it uses less digits than its factorization.

2505420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 490 counting only the distinct ones).

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

The square root of 2505420 is about 1582.8518566183. The cubic root of 2505420 is about 135.8188909917.

The spelling of 2505420 in words is "two million, five hundred five thousand, four hundred twenty".