2512711680 has 104 divisors (see below), whose sum is σ = 8039892432. Its totient is φ = 670040064.

The previous prime is 2512711679. The next prime is 2512711687. The reversal of 2512711680 is 861172152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512711687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40992 + ... + 81888.

It is an arithmetic number, because the mean of its divisors is an integer number (77306658).

Almost surely, 2^2512711680 is an apocalyptic number.

2512711680 is a gapful number since it is divisible by the number (20) 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 2512711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019946216).

2512711680 is an abundant number, since it is smaller than the sum of its proper divisors (5527180752).

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

2512711680 is an equidigital number, since it uses as much as digits as its factorization.

2512711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40929 (or 40907 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 2512711680 is about 50126.9556226987. The cubic root of 2512711680 is about 1359.5052410237.

The spelling of 2512711680 in words is "two billion, five hundred twelve million, seven hundred eleven thousand, six hundred eighty".