2511967728 has 40 divisors (see below), whose sum is σ = 6510021328. Its totient is φ = 834642432.

The previous prime is 2511967723. The next prime is 2511967729. The reversal of 2511967728 is 8277691152.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2511967723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68575 + ... + 98622.

Almost surely, 2^2511967728 is an apocalyptic number.

It is an amenable number.

2511967728 is an abundant number, since it is smaller than the sum of its proper divisors (3998053600).

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

2511967728 is a wasteful number, since it uses less digits than its factorization.

2511967728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167521 (or 167515 counting only the distinct ones).

The product of its digits is 423360, while the sum is 48.

The square root of 2511967728 is about 50119.5343952834. The cubic root of 2511967728 is about 1359.3710557814.

The spelling of 2511967728 in words is "two billion, five hundred eleven million, nine hundred sixty-seven thousand, seven hundred twenty-eight".