2505601440 has 288 divisors, whose sum is σ = 9531587520. Its totient is φ = 595648512.

The previous prime is 2505601379. The next prime is 2505601453. The reversal of 2505601440 is 441065052.

2505601440 is a `hidden beast` number, since 2 + 50 + 5 + 601 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2505601440² = 12556077152260147200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 462427 + ... + 467813.

It is an arithmetic number, because the mean of its divisors is an integer number (33095790).

Almost surely, 2^2505601440 is an apocalyptic number.

2505601440 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 2505601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765793760).

2505601440 is an abundant number, since it is smaller than the sum of its proper divisors (7025986080).

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

2505601440 is a wasteful number, since it uses less digits than its factorization.

2505601440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5444 (or 5433 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2505601440 is about 50055.9830589711. The cubic root of 2505601440 is about 1358.2216953512.

Adding to 2505601440 its reverse (441065052), we get a palindrome (2946666492).

The spelling of 2505601440 in words is "two billion, five hundred five million, six hundred one thousand, four hundred forty".