2505820 has 24 divisors (see below), whose sum is σ = 5292000. Its totient is φ = 996672.

The previous prime is 2505809. The next prime is 2505829. The reversal of 2505820 is 285052.

2505820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2505791 and 2505800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505829) 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 7 ways as a sum of consecutive naturals, for example, 6801 + ... + 7159.

It is an arithmetic number, because the mean of its divisors is an integer number (220500).

2^2505820 is an apocalyptic number.

2505820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505820 is an abundant number, since it is smaller than the sum of its proper divisors (2786180).

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

2505820 is a wasteful number, since it uses less digits than its factorization.

2505820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 2505820 is about 1582.9782057881. The cubic root of 2505820 is about 135.8261186109.

The spelling of 2505820 in words is "two million, five hundred five thousand, eight hundred twenty".