2511312768 has 128 divisors (see below), whose sum is σ = 7667748000. Its totient is φ = 808206336.

The previous prime is 2511312763. The next prime is 2511312787. The reversal of 2511312768 is 8672131152.

2511312768 is a `hidden beast` number, since 251 + 131 + 276 + 8 = 666.

2511312768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 50113²-1.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2511312763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87696 + ... + 112752.

Almost surely, 2^2511312768 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 2511312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833874000).

2511312768 is an abundant number, since it is smaller than the sum of its proper divisors (5156435232).

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

2511312768 is a wasteful number, since it uses less digits than its factorization.

2511312768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25109 (or 25091 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 2511312768 is about 50112.9999900225. Note that the first 5 decimals coincide. The cubic root of 2511312768 is about 1359.2528999298.

The spelling of 2511312768 in words is "two billion, five hundred eleven million, three hundred twelve thousand, seven hundred sixty-eight".