2511881152 has 112 divisors (see below), whose sum is σ = 5783104512. Its totient is φ = 1071150080.

The previous prime is 2511881137. The next prime is 2511881159.

It is a happy number.

2511881152 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2511881159) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 856713 + ... + 859639.

Almost surely, 2^2511881152 is an apocalyptic number.

2511881152 is a gapful number since it is divisible by the number (22) 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 2511881152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891552256).

2511881152 is an abundant number, since it is smaller than the sum of its proper divisors (3271223360).

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

2511881152 is a wasteful number, since it uses less digits than its factorization.

2511881152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3016 counting only the distinct ones).

The product of its digits is 6400, while the sum is 34.

The square root of 2511881152 is about 50118.6706926670. The cubic root of 2511881152 is about 1359.3554385080.

The spelling of 2511881152 in words is "two billion, five hundred eleven million, eight hundred eighty-one thousand, one hundred fifty-two".