2516260824 has 288 divisors, whose sum is σ = 8843627520. Its totient is φ = 632491200.

The previous prime is 2516260787. The next prime is 2516260849. The reversal of 2516260824 is 4280626152.

It is a happy number.

2516260824 is a `hidden beast` number, since 2 + 5 + 1 + 626 + 0 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81169689 + ... + 81169719.

It is an arithmetic number, because the mean of its divisors is an integer number (30707040).

Almost surely, 2^2516260824 is an apocalyptic number.

2516260824 is a gapful number since it is divisible by the number (24) 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 2516260824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421813760).

2516260824 is an abundant number, since it is smaller than the sum of its proper divisors (6327366696).

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

2516260824 is an equidigital number, since it uses as much as digits as its factorization.

2516260824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2516260824 is about 50162.3446820421. The cubic root of 2516260824 is about 1360.1450292280.

Adding to 2516260824 its reverse (4280626152), we get a palindrome (6796886976).

The spelling of 2516260824 in words is "two billion, five hundred sixteen million, two hundred sixty thousand, eight hundred twenty-four".