2510538016 has 48 divisors (see below), whose sum is σ = 5684769216. Its totient is φ = 1069076736.

The previous prime is 2510537999. The next prime is 2510538047. The reversal of 2510538016 is 6108350152.

It is a super-2 number, since 2×2510538016² = 12605602259562432512, 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 7 ways as a sum of consecutive naturals, for example, 526 + ... + 70861.

It is an arithmetic number, because the mean of its divisors is an integer number (118432692).

Almost surely, 2^2510538016 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 2510538016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842384608).

2510538016 is an abundant number, since it is smaller than the sum of its proper divisors (3174231200).

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

2510538016 is a wasteful number, since it uses less digits than its factorization.

2510538016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71561 (or 71553 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 2510538016 is about 50105.2693436529. The cubic root of 2510538016 is about 1359.1131068796.

Adding to 2510538016 its reverse (6108350152), we get a palindrome (8618888168).

The spelling of 2510538016 in words is "two billion, five hundred ten million, five hundred thirty-eight thousand, sixteen".