2511452224 has 56 divisors (see below), whose sum is σ = 5266578240. Its totient is φ = 1184961024.

The previous prime is 2511452149. The next prime is 2511452231. The reversal of 2511452224 is 4222541152.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2511452192 and 2511452201.

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, 315882 + ... + 323734.

It is an arithmetic number, because the mean of its divisors is an integer number (94046040).

Almost surely, 2^2511452224 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 2511452224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633289120).

2511452224 is an abundant number, since it is smaller than the sum of its proper divisors (2755126016).

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

2511452224 is a wasteful number, since it uses less digits than its factorization.

2511452224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147 (or 8137 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 2511452224 is about 50114.3913861078. The cubic root of 2511452224 is about 1359.2780597408.

Adding to 2511452224 its reverse (4222541152), we get a palindrome (6733993376).

The spelling of 2511452224 in words is "two billion, five hundred eleven million, four hundred fifty-two thousand, two hundred twenty-four".