2505720 has 128 divisors (see below), whose sum is σ = 9100800. Its totient is φ = 539136.

The previous prime is 2505707. The next prime is 2505743. The reversal of 2505720 is 275052.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

2505720 is an undulating number in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15882 + ... + 16038.

It is an arithmetic number, because the mean of its divisors is an integer number (71100).

2^2505720 is an apocalyptic number.

2505720 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 2505720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550400).

2505720 is an abundant number, since it is smaller than the sum of its proper divisors (6595080).

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

2505720 is a wasteful number, since it uses less digits than its factorization.

2505720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 2505720 is about 1582.9466194411. The cubic root of 2505720 is about 135.8243117783.

The spelling of 2505720 in words is "two million, five hundred five thousand, seven hundred twenty".