2505120 has 96 divisors (see below), whose sum is σ = 8382528. Its totient is φ = 626688.

The previous prime is 2505119. The next prime is 2505121. The reversal of 2505120 is 215052.

It is an interprime number because it is at equal distance from previous prime (2505119) and next prime (2505121).

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2505120.

It is not an unprimeable number, because it can be changed into a prime (2505121) 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, 8007 + ... + 8313.

It is an arithmetic number, because the mean of its divisors is an integer number (87318).

2^2505120 is an apocalyptic number.

2505120 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 2505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191264).

2505120 is an abundant number, since it is smaller than the sum of its proper divisors (5877408).

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

2505120 is a wasteful number, since it uses less digits than its factorization.

2505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2505120 is about 1582.7570881219. The cubic root of 2505120 is about 135.8134697724.

The spelling of 2505120 in words is "two million, five hundred five thousand, one hundred twenty".