2521616000 has 128 divisors (see below), whose sum is σ = 6301152000. Its totient is φ = 1003545600.

The previous prime is 2521615991. The next prime is 2521616003. The reversal of 2521616000 is 6161252.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2521616003) 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 15 ways as a sum of consecutive naturals, for example, 5743781 + ... + 5744219.

It is an arithmetic number, because the mean of its divisors is an integer number (49227750).

Almost surely, 2^2521616000 is an apocalyptic number.

2521616000 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 2521616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150576000).

2521616000 is an abundant number, since it is smaller than the sum of its proper divisors (3779536000).

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

2521616000 is an equidigital number, since it uses as much as digits as its factorization.

2521616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 2521616000 is about 50215.6947577149. The cubic root of 2521616000 is about 1361.1092449725.

Adding to 2521616000 its reverse (6161252), we get a palindrome (2527777252).

The spelling of 2521616000 in words is "two billion, five hundred twenty-one million, six hundred sixteen thousand".