2516127232 has 80 divisors (see below), whose sum is σ = 5257319760. Its totient is φ = 1201471488.

The previous prime is 2516127227. The next prime is 2516127259. The reversal of 2516127232 is 2327216152.

It is a super-2 number, since 2×2516127232² = 12661792495223963648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2516127194 and 2516127203.

It is a congruent number.

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, 1439383 + ... + 1441129.

It is an arithmetic number, because the mean of its divisors is an integer number (65716497).

Almost surely, 2^2516127232 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 2516127232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628659880).

2516127232 is an abundant number, since it is smaller than the sum of its proper divisors (2741192528).

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

2516127232 is an equidigital number, since it uses as much as digits as its factorization.

2516127232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1875 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 2516127232 is about 50161.0130679196. The cubic root of 2516127232 is about 1360.1209580998.

The spelling of 2516127232 in words is "two billion, five hundred sixteen million, one hundred twenty-seven thousand, two hundred thirty-two".