2505888 has 144 divisors (see below), whose sum is σ = 8963136. Its totient is φ = 645120.

The previous prime is 2505863. The next prime is 2505901. The reversal of 2505888 is 8885052.

2505888 is nontrivially palindromic in base 15.

It is a Cunningham number, because it is equal to 1583²-1.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22120 + ... + 22232.

It is an arithmetic number, because the mean of its divisors is an integer number (62244).

2^2505888 is an apocalyptic number.

2505888 is a gapful number since it is divisible by the number (28) 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 2505888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568).

2505888 is an abundant number, since it is smaller than the sum of its proper divisors (6457248).

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

2505888 is a wasteful number, since it uses less digits than its factorization.

2505888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 2505888 is about 1582.9996841440. Note that the first 3 decimals coincide. The cubic root of 2505888 is about 135.8273472297.

The spelling of 2505888 in words is "two million, five hundred five thousand, eight hundred eighty-eight".