2516263600 has 60 divisors (see below), whose sum is σ = 6082568776. Its totient is φ = 1000304640.

The previous prime is 2516263597. The next prime is 2516263609. The reversal of 2516263600 is 63626152.

2516263600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2516263609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45904 + ... + 84496.

Almost surely, 2^2516263600 is an apocalyptic number.

2516263600 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 2516263600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041284388).

2516263600 is an abundant number, since it is smaller than the sum of its proper divisors (3566305176).

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

2516263600 is a wasteful number, since it uses less digits than its factorization.

2516263600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38774 (or 38763 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 2516263600 is about 50162.3723521924. The cubic root of 2516263600 is about 1360.1455294095.

Adding to 2516263600 its reverse (63626152), we get a palindrome (2579889752).

The spelling of 2516263600 in words is "two billion, five hundred sixteen million, two hundred sixty-three thousand, six hundred".