2510445216 has 192 divisors, whose sum is σ = 7441072128. Its totient is φ = 736800768.

The previous prime is 2510445191. The next prime is 2510445241. The reversal of 2510445216 is 6125440152.

It is an interprime number because it is at equal distance from previous prime (2510445191) and next prime (2510445241).

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 31 ways as a sum of consecutive naturals, for example, 1763481 + ... + 1764903.

It is an arithmetic number, because the mean of its divisors is an integer number (38755584).

Almost surely, 2^2510445216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2510445216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720536064).

2510445216 is an abundant number, since it is smaller than the sum of its proper divisors (4930626912).

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

2510445216 is a wasteful number, since it uses less digits than its factorization.

2510445216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2510445216 is about 50104.3432847892. The cubic root of 2510445216 is about 1359.0963605023.

Adding to 2510445216 its reverse (6125440152), we get a palindrome (8635885368).

The spelling of 2510445216 in words is "two billion, five hundred ten million, four hundred forty-five thousand, two hundred sixteen".