2505605520 has 160 divisors (see below), whose sum is σ = 8972104320. Its totient is φ = 571678720.

The previous prime is 2505605513. The next prime is 2505605527. The reversal of 2505605520 is 255065052.

It is an interprime number because it is at equal distance from previous prime (2505605513) and next prime (2505605527).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2505605527) 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 31 ways as a sum of consecutive naturals, for example, 16966 + ... + 72794.

It is an arithmetic number, because the mean of its divisors is an integer number (56075652).

Almost surely, 2^2505605520 is an apocalyptic number.

2505605520 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 2505605520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486052160).

2505605520 is an abundant number, since it is smaller than the sum of its proper divisors (6466498800).

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

2505605520 is a wasteful number, since it uses less digits than its factorization.

2505605520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55873 (or 55867 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 2505605520 is about 50056.0238133234. The cubic root of 2505605520 is about 1358.2224325716. Note that the first 3 decimals are identical.

The spelling of 2505605520 in words is "two billion, five hundred five million, six hundred five thousand, five hundred twenty".