2506521600 has 792 divisors, whose sum is σ = 10453652352. Its totient is φ = 567705600.

The previous prime is 2506521587. The next prime is 2506521601. The reversal of 2506521600 is 61256052.

2506521600 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 52 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506521601) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 58291179 + ... + 58291221.

It is an arithmetic number, because the mean of its divisors is an integer number (13199056).

Almost surely, 2^2506521600 is an apocalyptic number.

2506521600 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 2506521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5226826176).

2506521600 is an abundant number, since it is smaller than the sum of its proper divisors (7947130752).

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

2506521600 is a wasteful number, since it uses less digits than its factorization.

2506521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2506521600 is about 50065.1735241175. The cubic root of 2506521600 is about 1358.3879399763.

Adding to 2506521600 its reverse (61256052), we get a palindrome (2567777652).

It can be divided in two parts, 250652 and 1600, that added together give a palindrome (252252).

The spelling of 2506521600 in words is "two billion, five hundred six million, five hundred twenty-one thousand, six hundred".