2505534180 has 192 divisors, whose sum is σ = 7648542720. Its totient is φ = 610675200.

The previous prime is 2505534167. The next prime is 2505534193. The reversal of 2505534180 is 814355052.

It is an interprime number because it is at equal distance from previous prime (2505534167) and next prime (2505534193).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8056225 + ... + 8056535.

It is an arithmetic number, because the mean of its divisors is an integer number (39836160).

Almost surely, 2^2505534180 is an apocalyptic number.

2505534180 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 2505534180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824271360).

2505534180 is an abundant number, since it is smaller than the sum of its proper divisors (5143008540).

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

2505534180 is a wasteful number, since it uses less digits than its factorization.

2505534180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 2505534180 is about 50055.3112067041. The cubic root of 2505534180 is about 1358.2095419407.

The spelling of 2505534180 in words is "two billion, five hundred five million, five hundred thirty-four thousand, one hundred eighty".